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Flávio Coelho committed 472e3cb

added rdf versions of ontologies

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Files changed (2)

EpidemicModeling/EpidemicModeling.rdf

+<?xml version="1.0"?>
+
+
+<!DOCTYPE rdf:RDF [
+    <!ENTITY terms "http://purl.org/dc/terms/" >
+    <!ENTITY dc "http://purl.org/dc/elements/1.1/" >
+    <!ENTITY xsd "http://www.w3.org/2001/XMLSchema#" >
+    <!ENTITY rdfs "http://www.w3.org/2000/01/rdf-schema#" >
+    <!ENTITY ace_lexicon "http://attempto.ifi.uzh.ch/ace_lexicon#" >
+    <!ENTITY rdf "http://www.w3.org/1999/02/22-rdf-syntax-ns#" >
+    <!ENTITY oboInOwl "http://www.geneontology.org/formats/oboInOwl#" >
+    <!ENTITY publication "http://mapekus.fiit.stuba.sk/mapekus/ontologies/v0.2/publication#" >
+]>
+
+
+<rdf:RDF xmlns="http://www.w3.org/2002/07/owl#"
+     xml:base="http://www.w3.org/2002/07/owl"
+     xmlns:dc="http://purl.org/dc/elements/1.1/"
+     xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
+     xmlns:terms="http://purl.org/dc/terms/"
+     xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
+     xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+     xmlns:oboInOwl="http://www.geneontology.org/formats/oboInOwl#"
+     xmlns:ace_lexicon="http://attempto.ifi.uzh.ch/ace_lexicon#"
+     xmlns:publication="http://mapekus.fiit.stuba.sk/mapekus/ontologies/v0.2/publication#">
+    <Ontology rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl">
+        <dc:creator rdf:datatype="&xsd;string">Cláudia Torres Codeço</dc:creator>
+        <dc:creator rdf:datatype="&xsd;string">Flávio Codeço Coelho</dc:creator>
+        <dc:title rdf:datatype="&xsd;string">Ontology of Mathematical Epidemic Models</dc:title>
+        <dc:creator rdf:datatype="&xsd;string">Renato Rocha Souza</dc:creator>
+        <dc:language rdf:datatype="&xsd;string">english</dc:language>
+        <imports rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl"/>
+    </Ontology>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Annotation properties
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    <AnnotationProperty rdf:about="&ace_lexicon;PN_sg"/>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Datatypes
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Object Properties
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    
+
+
+    <!-- http://mapekus.fiit.stuba.sk/mapekus/ontologies/v0.2/publication#isAuthorOf -->
+
+    <rdf:Description rdf:about="&publication;isAuthorOf">
+        <ace_lexicon:TV_pl>isAuthorOf</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>isAuthorOfed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>isAuthorOfs</ace_lexicon:TV_sg>
+    </rdf:Description>
+    
+
+
+    <!-- http://www.obofoundry.org/ro/ro.owl#contains -->
+
+    <rdf:Description rdf:about="http://www.obofoundry.org/ro/ro.owl#contains">
+        <ace_lexicon:TV_vbg>containsed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>contains</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>containses</ace_lexicon:TV_sg>
+    </rdf:Description>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#hasImmunologicalState -->
+
+    <ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#hasImmunologicalState">
+        <rdfs:domain rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Host"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+        <rdfs:domain rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Vector"/>
+    </ObjectProperty>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Classes
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    
+
+
+    <!-- http://mapekus.fiit.stuba.sk/mapekus/ontologies/v0.2/publication#Article -->
+
+    <rdf:Description rdf:about="&publication;Article">
+        <ace_lexicon:CN_pl>Articles</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Article</ace_lexicon:CN_sg>
+    </rdf:Description>
+    
+
+
+    <!-- http://mapekus.fiit.stuba.sk/mapekus/ontologies/v0.2/publication#Author -->
+
+    <rdf:Description rdf:about="&publication;Author">
+        <ace_lexicon:CN_sg>Author</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Authors</ace_lexicon:CN_pl>
+    </rdf:Description>
+    
+
+
+    <!-- http://mapekus.fiit.stuba.sk/mapekus/ontologies/v0.2/publication#Journal -->
+
+    <rdf:Description rdf:about="&publication;Journal">
+        <ace_lexicon:CN_pl>Journals</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Journal</ace_lexicon:CN_sg>
+    </rdf:Description>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Modelling_Domain -->
+
+    <rdf:Description rdf:about="http://www.co-ode.org/ontologies/ont.owl#Modelling_Domain">
+        <rdfs:subClassOf rdf:resource="http://www.w3.org/2002/07/owl#Thing"/>
+        <ace_lexicon:CN_pl>Modelling_Domains</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Modelling_Domain</ace_lexicon:CN_sg>
+    </rdf:Description>
+    
+
+
+    <!-- http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model -->
+
+    <Class rdf:about="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model">
+        <rdfs:subClassOf rdf:resource="http://www.co-ode.org/ontologies/ont.owl#Dynamic_Model"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="&publication;contains"/>
+                <someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+            </Restriction>
+        </rdfs:subClassOf>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://en.wikipedia.org/wiki/Epidemic_model</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Epidemic_Models</ace_lexicon:CN_pl>
+        <rdfs:comment>An Epidemic model describes the transmission of communicable disease through individuals</rdfs:comment>
+        <ace_lexicon:CN_sg>Epidemic_Model</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Susceptible_Infected_Recovered -->
+
+    <Class rdf:about="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Susceptible_Infected_Recovered">
+        <rdfs:label rdf:datatype="&xsd;string">SIR</rdfs:label>
+        <rdfs:subClassOf rdf:resource="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="http://www.obofoundry.org/ro/ro.owl#contains"/>
+                <allValuesFrom>
+                    <Class>
+                        <intersectionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Infected"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Recovered"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Susceptible"/>
+                        </intersectionOf>
+                    </Class>
+                </allValuesFrom>
+            </Restriction>
+        </rdfs:subClassOf>
+        <oboInOwl:hasSynonym rdf:datatype="&xsd;string">Susceptible Infected Recovered</oboInOwl:hasSynonym>
+        <dc:description xml:lang="en">In 1927, W. O. Kermack and A. G. McKendrick created a model in which they considered a fixed population with only three compartments, susceptible: S(t), infected, I(t), and recovered, R(t).The compartments used for this model consist of three classes:
+
+    S(t) is used to represent the number of individuals not yet infected with the disease at time t, or those susceptible to the disease
+    I(t) denotes the number of individuals who have been infected with the disease and are capable of spreading the disease to those in the susceptible category
+    R(t) is the compartment used for those individuals who have been infected and then recovered from the disease. Those in this category are not able to be infected again or to transmit the infection to others.</dc:description>
+        <ace_lexicon:CN_sg>Susceptible_Infected_Recovered</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Air_borne -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Air_borne">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Indirect_transmission"/>
+        <ace_lexicon:CN_sg>Air_borne</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Air_bornes</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">Also known as the respiratory route, it is a typical mode of transmission among many infectious agents. If an infected person coughs or sneezes on another person the microorganisms, suspended in warm, moist droplets, may enter the body through the nose, mouth or eye surfaces. </dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Birth_rate -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Birth_rate">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate"/>
+        <ace_lexicon:CN_pl>Birth_rates</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Birth_rate</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Climate -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Climate">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#External_forces"/>
+        <ace_lexicon:CN_sg>Climate</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Climates</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Death_rate -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Death_rate">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate"/>
+        <ace_lexicon:CN_pl>Death_rates</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Death_rate</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Direct_transmission -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Direct_transmission">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Transmission_mechanism"/>
+        <ace_lexicon:CN_pl>Direct_transmissions</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Direct_transmission</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#ENSO -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#ENSO">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Climate"/>
+        <ace_lexicon:CN_pl>ENSOes</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>ENSO</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">El Niño/La Niña-Southern Oscillation, or ENSO, is a quasiperiodic climate pattern that occurs across the tropical Pacific Ocean roughly every five years. </dc:description>
+        <oboInOwl:hasURI xml:lang="en">http://en.wikipedia.org/wiki/ENSO</oboInOwl:hasURI>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#External_forces -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#External_forces">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+        <ace_lexicon:CN_pl>External_forceses</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>External_forces</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">Variables that are external to the system, that influence its dynamics. Climate is the most common natural external forcing of epidemic models.</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Fecal-oral_transmission -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Fecal-oral_transmission">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Indirect_transmission"/>
+        <ace_lexicon:CN_sg>Fecal-oral_transmission</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">Direct contact is rare in this route, for humans at least. More common are the indirect routes; foodstuffs or water become contaminated (by people not washing their hands before preparing food, or untreated sewage being released into a drinking water supply) and the people who eat and drink them become infected. In developing countries most sewage is discharged into the environment or on cropland as of 2006; even in developed countries there are periodic system failures resulting in a sanitary sewer overflow.</dc:description>
+        <ace_lexicon:CN_pl>Fecal-oral_transmissions</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Force_of_infection -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Force_of_infection">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate"/>
+        <ace_lexicon:CN_sg>Force_of_infection</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Force_of_infections</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">rate at which susceptible individuals become infected</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Host -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Host">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#hasImmunologicalState"/>
+                <someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+            </Restriction>
+        </rdfs:subClassOf>
+        <ace_lexicon:CN_sg>Host</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Hosts</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">Organism which harbors a parasite, pathogen, or a mutual or commensal symbiont, typically providing nourishment and shelter.</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Humidity -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Humidity">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Climate"/>
+        <ace_lexicon:CN_sg>Humidity</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Humidities</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://en.wikipedia.org/wiki/Epidemic_model</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Immunological_States</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Immunological_State</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">Possible Immunological states of  individuals in an epidemic model.</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Incubation_period -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Incubation_period">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate"/>
+        <ace_lexicon:CN_pl>Incubation_periods</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Incubation_period</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">average period between the momment of infection and the begining of the infectious period</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Indirect_transmission -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Indirect_transmission">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Transmission_mechanism"/>
+        <ace_lexicon:CN_sg>Indirect_transmission</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Indirect_transmissions</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Infected -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Infected">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+        <ace_lexicon:CN_sg>Infected</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Infecteds</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">Denotes individuals who have been infected with the disease and are capable of spreading the disease to those in the susceptible category</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Latent -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Latent">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+        <ace_lexicon:CN_pl>Latents</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Latent</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">denotes individuals who have been infected with the disease and are still not capable of spreading the disease to those in the susceptible category</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+        <ace_lexicon:CN_sg>Life_History_Transition_Rate</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Life_History_Transition_Rates</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">Transition rates between immunological or developmental states.</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_expectancy -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_expectancy">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate"/>
+        <ace_lexicon:CN_pl>Life_expectancies</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">Expected (in the statistical sense) number of years of life remaining at a given age</dc:description>
+        <ace_lexicon:CN_sg>Life_expectancy</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mass_action -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mass_action">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+        <ace_lexicon:CN_sg>Mass_action</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Mass_actions</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology">
+        <rdfs:subClassOf rdf:resource="http://www.co-ode.org/ontologies/ont.owl#Modelling_Domain"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="&publication;contains"/>
+                <someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+            </Restriction>
+        </rdfs:subClassOf>
+        <ace_lexicon:CN_pl>Mathematical_Epidemiologies</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Mathematical_Epidemiology</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Oral_transmission -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Oral_transmission">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Direct_transmission"/>
+        <dc:description xml:lang="en">Diseases that are transmitted primarily by oral means may be caught through direct oral contact such as kissing, or by indirect contact such as by sharing a drinking glass or a cigarette.</dc:description>
+        <ace_lexicon:CN_pl>Oral_transmissions</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Oral_transmission</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Pathogen -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Pathogen">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+        <ace_lexicon:CN_sg>Pathogen</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">Causative agent of the disease</dc:description>
+        <ace_lexicon:CN_pl>Pathogens</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Rainfall -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Rainfall">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Climate"/>
+        <ace_lexicon:CN_sg>Rainfall</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Rainfalls</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Recovered -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Recovered">
+        <equivalentClass rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Removed"/>
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+        <ace_lexicon:CN_pl>Recovereds</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Recovered</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">Is the compartment used for those individuals who have been infected and then recovered from the disease.</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Recovery_rate -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Recovery_rate">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate"/>
+        <ace_lexicon:CN_pl>Recovery_rates</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Recovery_rate</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">rate at individuals recover from infection becoming non infective</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Removed -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Removed">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+        <ace_lexicon:CN_pl>Removeds</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">Is the compartment used for those individuals who have been infected and then recovered from the disease.</dc:description>
+        <ace_lexicon:CN_sg>Removed</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Seasonality -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Seasonality">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#External_forces"/>
+        <ace_lexicon:CN_sg>Seasonality</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Seasonalities</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Sexual_transmission -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Sexual_transmission">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Direct_transmission"/>
+        <ace_lexicon:CN_pl>Sexual_transmissions</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Sexual_transmission</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">This refers to any disease that can be caught during sexual activity with another person, including vaginal or anal sex or (less commonly) through oral sex </dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Susceptible -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Susceptible">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+        <ace_lexicon:CN_sg>Susceptible</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Susceptibles</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">Represent individuals not yet infected with the disease at time t, or those susceptible to the disease</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Temperature -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Temperature">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Climate"/>
+        <ace_lexicon:CN_pl>Temperatures</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Temperature</ace_lexicon:CN_sg>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Transmission_mechanism -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Transmission_mechanism">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://en.wikipedia.org/wiki/Disease_transmission#Routes_of_Transmission</rdfs:seeAlso>
+        <ace_lexicon:CN_sg>Transmission_mechanism</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">Routes of disease transmission</dc:description>
+        <ace_lexicon:CN_pl>Transmission_mechanisms</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Transmission_rate -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Transmission_rate">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Life_History_Transition_Rate"/>
+        <ace_lexicon:CN_sg>Transmission_rate</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Transmission_rates</ace_lexicon:CN_pl>
+        <dc:description xml:lang="en">the effective contact rate between susceptible and infected </dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Vector -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Vector">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mathematical_Epidemiology_Core_Concepts"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#hasImmunologicalState"/>
+                <someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Immunological_State"/>
+            </Restriction>
+        </rdfs:subClassOf>
+        <ace_lexicon:CN_pl>Vectors</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Vector</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">an organism, often an invertebrate arthropod, that transmits a pathogen from reservoir to host</dc:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Vector_borne -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Vector_borne">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Indirect_transmission"/>
+        <ace_lexicon:CN_sg>Vector_borne</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">Transmitted by a vector</dc:description>
+        <ace_lexicon:CN_pl>Vector_bornes</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Vertical_transmission -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Vertical_transmission">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Direct_transmission"/>
+        <dc:description xml:lang="en">This is from mother to child, often in utero or during childbirth (also referred to as perinatal infection). It occurs more rarely via breast milk.</dc:description>
+        <ace_lexicon:CN_sg>Vertical_transmission</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Vertical_transmissions</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Water_borne -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Water_borne">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Indirect_transmission"/>
+        <ace_lexicon:CN_sg>Water_borne</ace_lexicon:CN_sg>
+        <dc:description xml:lang="en">Contaminated water serves as a vehicle for the pathogen access to the host</dc:description>
+        <ace_lexicon:CN_pl>Water_bornes</ace_lexicon:CN_pl>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SEI -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SEI">
+        <rdfs:subClassOf rdf:resource="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model"/>
+        <terms:description>The SEI model takes into consideration the exposed or latent period of the disease, giving an additional compartment to the SI model, E(t). In this model there is no recovery.</terms:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SEIR -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SEIR">
+        <rdfs:subClassOf rdf:resource="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="&publication;contains"/>
+                <allValuesFrom>
+                    <Class>
+                        <intersectionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Infected"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Latent"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Recovered"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Susceptible"/>
+                        </intersectionOf>
+                    </Class>
+                </allValuesFrom>
+            </Restriction>
+        </rdfs:subClassOf>
+        <oboInOwl:hasSynonym rdf:datatype="&xsd;string">Susceptible Exposed Infected Recovered</oboInOwl:hasSynonym>
+        <terms:description rdf:datatype="&xsd;string">The SIR model discussed above takes into account only those diseases which cause an individual to be able to infect others immediately upon their infection. Many diseases have what is termed a latent or exposed phase, during which the individual is said to be infected but not infectious.</terms:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SEIS -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SEIS">
+        <rdfs:subClassOf rdf:resource="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="&publication;contains"/>
+                <allValuesFrom>
+                    <Class>
+                        <intersectionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Infected"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Latent"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Susceptible"/>
+                        </intersectionOf>
+                    </Class>
+                </allValuesFrom>
+            </Restriction>
+        </rdfs:subClassOf>
+        <terms:description>The SEIS model takes into consideration the exposed or latent period of the disease, giving an additional compartment, E(t). In this model an infection does not leave a long lasting immunity thus individuals that have recovered return to being susceptible again, moving back into the S(t) compartment.</terms:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SIRS -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SIRS">
+        <rdfs:subClassOf rdf:resource="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="&publication;contains"/>
+                <allValuesFrom>
+                    <Class>
+                        <intersectionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Infected"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Recovered"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Susceptible"/>
+                        </intersectionOf>
+                    </Class>
+                </allValuesFrom>
+            </Restriction>
+        </rdfs:subClassOf>
+        <terms:description>This model is simply an extension of the SIR model. The only difference is that it allows members of the recovered class to be free of infection and rejoin the susceptible class.</terms:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SIS -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#SIS">
+        <rdfs:subClassOf rdf:resource="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="&publication;contains"/>
+                <allValuesFrom>
+                    <Class>
+                        <intersectionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Infected"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Susceptible"/>
+                        </intersectionOf>
+                    </Class>
+                </allValuesFrom>
+            </Restriction>
+        </rdfs:subClassOf>
+        <oboInOwl:hasSynonym rdf:datatype="&xsd;string">Susceptible Infected Susceptible</oboInOwl:hasSynonym>
+        <terms:description rdf:datatype="&xsd;string">The SIS model can be easily derived from the SIR model by simply considering that the individuals recover with no immunity to the disease, that is, individuals are immediately susceptible once they have recovered.</terms:description>
+    </Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#Susceptible_Infected -->
+
+    <Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/EpidemicModeling/EpidemicModeling.owl#Susceptible_Infected">
+        <rdfs:label rdf:datatype="&xsd;string">SI</rdfs:label>
+        <rdfs:subClassOf rdf:resource="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#Epidemic_Model"/>
+        <rdfs:subClassOf>
+            <Restriction>
+                <onProperty rdf:resource="&publication;contains"/>
+                <allValuesFrom>
+                    <Class>
+                        <intersectionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Infected"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Susceptible"/>
+                        </intersectionOf>
+                    </Class>
+                </allValuesFrom>
+            </Restriction>
+        </rdfs:subClassOf>
+        <oboInOwl:hasSynonym rdf:datatype="&xsd;string">Susceptible Infected</oboInOwl:hasSynonym>
+        <terms:description rdf:datatype="&xsd;string">The SI model can be easily derived from the SIR model by simply considering that the individuals never recover.</terms:description>
+    </Class>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Individuals
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006 -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006">
+        <rdf:type rdf:resource="&publication;Article"/>
+        <ace_lexicon:PN_sg>Adams2006</ace_lexicon:PN_sg>
+    </NamedIndividual>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams_B -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams_B">
+        <rdf:type rdf:resource="&publication;Author"/>
+        <ace_lexicon:PN_sg>Adams_B</ace_lexicon:PN_sg>
+        <publication:isAuthorOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006"/>
+    </NamedIndividual>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Boots_M -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Boots_M">
+        <rdf:type rdf:resource="&publication;Author"/>
+        <ace_lexicon:PN_sg>Boots_M</ace_lexicon:PN_sg>
+        <publication:isAuthorOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006"/>
+    </NamedIndividual>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Holmes_EC -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Holmes_EC">
+        <rdf:type rdf:resource="&publication;Author"/>
+        <ace_lexicon:PN_sg>Holmes_EC</ace_lexicon:PN_sg>
+        <publication:isAuthorOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006"/>
+    </NamedIndividual>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Kalayanarooj_S -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Kalayanarooj_S">
+        <rdf:type rdf:resource="&publication;Author"/>
+        <ace_lexicon:PN_sg>Kalayanarooj_S</ace_lexicon:PN_sg>
+        <publication:isAuthorOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006"/>
+    </NamedIndividual>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mammen_MP_Jr -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Mammen_MP_Jr">
+        <rdf:type rdf:resource="&publication;Author"/>
+        <ace_lexicon:PN_sg>Mammen_MP_Jr</ace_lexicon:PN_sg>
+        <publication:isAuthorOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006"/>
+    </NamedIndividual>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Nimmannitya_S -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Nimmannitya_S">
+        <rdf:type rdf:resource="&publication;Author"/>
+        <ace_lexicon:PN_sg>Nimmannitya_S</ace_lexicon:PN_sg>
+        <publication:isAuthorOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006"/>
+    </NamedIndividual>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America">
+        <rdf:type rdf:resource="&publication;Journal"/>
+        <ace_lexicon:PN_sg>Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America</ace_lexicon:PN_sg>
+    </NamedIndividual>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Zhang_C -->
+
+    <NamedIndividual rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Zhang_C">
+        <rdf:type rdf:resource="&publication;Author"/>
+        <ace_lexicon:PN_sg>Zhang_C</ace_lexicon:PN_sg>
+        <publication:isAuthorOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/795d675c89cd/EpidemicModeling/EpidemicModeling.owl#Adams2006"/>
+    </NamedIndividual>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Annotations
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    <rdf:Description rdf:about="http://www.co-ode.org/ontologies/ont.owl#Mathematical_Model">
+        <ace_lexicon:CN_sg>Mathematical_Model</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Mathematical_Models</ace_lexicon:CN_pl>
+    </rdf:Description>
+</rdf:RDF>
+
+
+
+<!-- Generated by the OWL API (version 3.2.5.1912) http://owlapi.sourceforge.net -->
+

Modeling Ontology/MathModels.rdf

+<?xml version="1.0"?>
+
+
+<!DOCTYPE rdf:RDF [
+    <!ENTITY owl "http://www.w3.org/2002/07/owl#" >
+    <!ENTITY obo "http://purl.obolibrary.org/obo/" >
+    <!ENTITY dc "http://purl.org/dc/elements/1.1/" >
+    <!ENTITY xsd "http://www.w3.org/2001/XMLSchema#" >
+    <!ENTITY daml "http://www.daml.org/2001/03/daml+oil#" >
+    <!ENTITY rdfs "http://www.w3.org/2000/01/rdf-schema#" >
+    <!ENTITY ace_lexicon "http://attempto.ifi.uzh.ch/ace_lexicon#" >
+    <!ENTITY j.0 "http://localhost/default#Mathematical&#37;20" >
+    <!ENTITY ont "http://www.co-ode.org/ontologies/ont.owl#" >
+    <!ENTITY MathML "http://www.w3.org/Math/XMLSchema/mathml3/#" >
+    <!ENTITY rdf "http://www.w3.org/1999/02/22-rdf-syntax-ns#" >
+    <!ENTITY oboInOwl "http://www.geneontology.org/formats/oboInOwl#" >
+]>
+
+
+<rdf:RDF xmlns="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl#"
+     xml:base="http://www.semanticweb.org/ontologies/2011/4/MathModels.owl"
+     xmlns:dc="http://purl.org/dc/elements/1.1/"
+     xmlns:MathML="http://www.w3.org/Math/XMLSchema/mathml3/#"
+     xmlns:j.0="http://localhost/default#Mathematical%20"
+     xmlns:daml="http://www.daml.org/2001/03/daml+oil#"
+     xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
+     xmlns:obo="http://purl.obolibrary.org/obo/"
+     xmlns:ont="http://www.co-ode.org/ontologies/ont.owl#"
+     xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
+     xmlns:owl="http://www.w3.org/2002/07/owl#"
+     xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+     xmlns:oboInOwl="http://www.geneontology.org/formats/oboInOwl#"
+     xmlns:ace_lexicon="http://attempto.ifi.uzh.ch/ace_lexicon#">
+    <owl:Ontology rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/tip/Modeling%20Ontology/MathModels.owl">
+        <dc:creator rdf:datatype="&xsd;string">Claudia Torres Codeco</dc:creator>
+        <dc:creator rdf:datatype="&xsd;string">Flavio Codeço Coelho</dc:creator>
+        <dc:title rdf:datatype="&xsd;string">Mathematical Model Ontology</dc:title>
+        <dc:creator rdf:datatype="&xsd;string">Renato Rocha Souza</dc:creator>
+        <dc:description rdf:datatype="&xsd;string">This Ontology aims to describe the field of mathematical modeling, and provide a comprehensive classification of existing works of modeling</dc:description>
+        <owl:imports rdf:resource="http://mapekus.fiit.stuba.sk/mapekus/ontologies/v0.2/publication"/>
+        <owl:imports rdf:resource="&obo;ido.owl"/>
+    </owl:Ontology>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Annotation properties
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    <owl:AnnotationProperty rdf:about="&dc;creator">
+        <rdfs:isDefinedBy rdf:resource="http://purl.org/dc/elements/1.1/"/>
+    </owl:AnnotationProperty>
+    <owl:AnnotationProperty rdf:about="&ace_lexicon;TV_pl"/>
+    <owl:AnnotationProperty rdf:about="&ace_lexicon;CN_pl"/>
+    <owl:AnnotationProperty rdf:about="&dc;description">
+        <rdfs:isDefinedBy rdf:resource="http://purl.org/dc/elements/1.1/"/>
+    </owl:AnnotationProperty>
+    <owl:AnnotationProperty rdf:about="&dc;coverage">
+        <rdfs:isDefinedBy rdf:resource="http://purl.org/dc/elements/1.1/"/>
+    </owl:AnnotationProperty>
+    <owl:AnnotationProperty rdf:about="&rdfs;comment"/>
+    <owl:AnnotationProperty rdf:about="&rdfs;seeAlso"/>
+    <rdf:Description rdf:about="&obo;IAO_0000412">
+        <obo:IAO_0000114 rdf:resource="&obo;IAO_0000125"/>
+    </rdf:Description>
+    <owl:AnnotationProperty rdf:about="&ace_lexicon;TV_sg"/>
+    <owl:AnnotationProperty rdf:about="&obo;IAO_0000118">
+        <obo:IAO_0000114 rdf:resource="&obo;IAO_0000125"/>
+    </owl:AnnotationProperty>
+    <owl:AnnotationProperty rdf:about="&ace_lexicon;CN_sg"/>
+    <owl:AnnotationProperty rdf:about="&dc;title">
+        <rdfs:isDefinedBy rdf:resource="http://purl.org/dc/elements/1.1/"/>
+    </owl:AnnotationProperty>
+    <owl:AnnotationProperty rdf:about="&ace_lexicon;TV_vbg"/>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Datatypes
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Object Properties
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#hasDimension -->
+
+    <owl:ObjectProperty rdf:about="&ont;hasDimension">
+        <ace_lexicon:TV_vbg>hasDimensioned</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>hasDimensions</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_pl>hasDimension</ace_lexicon:TV_pl>
+        <rdfs:domain rdf:resource="&ont;Mathematical_Model"/>
+        <rdfs:range rdf:resource="&ont;Space"/>
+        <rdfs:range rdf:resource="&ont;Time"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#hasSpace -->
+
+    <owl:ObjectProperty rdf:about="&ont;hasSpace">
+        <ace_lexicon:TV_pl>hasSpace</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>hasSpaces</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_vbg>hasSpaced</ace_lexicon:TV_vbg>
+        <rdfs:subPropertyOf rdf:resource="&ont;hasDimension"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#hasTime -->
+
+    <owl:ObjectProperty rdf:about="&ont;hasTime">
+        <ace_lexicon:TV_sg>hasTimes</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_vbg>hasTimed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>hasTime</ace_lexicon:TV_pl>
+        <rdfs:subPropertyOf rdf:resource="&ont;hasDimension"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#componentOf -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#componentOf">
+        <ace_lexicon:TV_pl>componentOf</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>componentOfed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>componentOfs</ace_lexicon:TV_sg>
+        <owl:inverseOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasComponent"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasComponent -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasComponent">
+        <ace_lexicon:TV_sg>hasComponents</ace_lexicon:TV_sg>
+        <dc:coverage></dc:coverage>
+        <ace_lexicon:TV_pl>hasComponent</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>hasComponented</ace_lexicon:TV_vbg>
+        <rdfs:domain rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasContinuity -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasContinuity">
+        <rdf:type rdf:resource="&owl;TransitiveProperty"/>
+        <ace_lexicon:TV_pl>hasContinuity</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>hasContinuities</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_vbg>hasContinuitied</ace_lexicon:TV_vbg>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuity_Partition"/>
+        <rdfs:domain rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Variable"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasDomain -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasDomain">
+        <ace_lexicon:TV_vbg>hasDomained</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>hasDomains</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_pl>hasDomain</ace_lexicon:TV_pl>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Complex"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Integer"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Rational"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Real"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquation -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquation">
+        <ace_lexicon:TV_vbg>hasEquationed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>hasEquation</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>hasEquations</ace_lexicon:TV_sg>
+        <rdfs:domain rdf:resource="&ont;Mathematical_Model"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquilibria -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquilibria">
+        <ace_lexicon:TV_sg>hasEquilibrias</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_pl>hasEquilibria</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>hasEquilibriaed</ace_lexicon:TV_vbg>
+        <rdfs:domain rdf:resource="&ont;Dynamic_Model"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equilibria"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasParameter -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasParameter">
+        <ace_lexicon:TV_vbg>hasParametered</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>hasParameter</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>hasParameters</ace_lexicon:TV_sg>
+        <rdfs:domain rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Parameter"/>
+        <rdfs:subPropertyOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasComponent"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRandomness -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRandomness">
+        <rdf:type rdf:resource="&owl;TransitiveProperty"/>
+        <ace_lexicon:TV_sg>hasRandomnesses</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_vbg>hasRandomnessed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>hasRandomness</ace_lexicon:TV_pl>
+        <rdfs:comment xml:lang="en">Property of variable which defines them as random variables or not</rdfs:comment>
+        <rdfs:seeAlso xml:lang="en">http://en.wikipedia.org/wiki/Random_variable</rdfs:seeAlso>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Randomness_Partition"/>
+        <rdfs:domain rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Variable"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRepresentation -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRepresentation">
+        <ace_lexicon:TV_sg>hasRepresentations</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_vbg>hasRepresentationed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>hasRepresentation</ace_lexicon:TV_pl>
+        <rdfs:domain rdf:resource="&ont;Mathematical_Model"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Algorithmic"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Mathematical"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasSource -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasSource">
+        <ace_lexicon:TV_pl>hasSource</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>hasSources</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_vbg>hasSourced</ace_lexicon:TV_vbg>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasVariable -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasVariable">
+        <ace_lexicon:TV_vbg>hasVariabled</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>hasVariable</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>hasVariables</ace_lexicon:TV_sg>
+        <rdfs:domain rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <rdfs:range rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Variable"/>
+        <rdfs:subPropertyOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasComponent"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#parameterOf -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#parameterOf">
+        <ace_lexicon:TV_vbg>parameterOfed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>parameterOf</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>parameterOfs</ace_lexicon:TV_sg>
+        <rdfs:subPropertyOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#componentOf"/>
+        <owl:inverseOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasParameter"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#sourceOf -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#sourceOf">
+        <ace_lexicon:TV_pl>sourceOf</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>sourceOfed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>sourceOfs</ace_lexicon:TV_sg>
+        <owl:inverseOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasSource"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#variableOf -->
+
+    <owl:ObjectProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#variableOf">
+        <ace_lexicon:TV_pl>variableOf</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>variableOfed</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>variableOfs</ace_lexicon:TV_sg>
+        <rdfs:subPropertyOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#componentOf"/>
+        <owl:inverseOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasVariable"/>
+    </owl:ObjectProperty>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Data properties
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#IsHomogeneous -->
+
+    <owl:DatatypeProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#IsHomogeneous">
+        <rdf:type rdf:resource="&owl;FunctionalProperty"/>
+        <ace_lexicon:TV_sg>IsHomogeneouses</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_pl>IsHomogeneous</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>IsHomogeneoused</ace_lexicon:TV_vbg>
+        <rdfs:range rdf:resource="&xsd;boolean"/>
+    </owl:DatatypeProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasComplexValue -->
+
+    <owl:DatatypeProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasComplexValue">
+        <ace_lexicon:TV_pl>hasComplexValue</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>hasComplexValued</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>hasComplexValues</ace_lexicon:TV_sg>
+        <rdfs:subPropertyOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasValue"/>
+    </owl:DatatypeProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasIntegerValue -->
+
+    <owl:DatatypeProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasIntegerValue">
+        <ace_lexicon:TV_vbg>hasIntegerValued</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>hasIntegerValues</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_pl>hasIntegerValue</ace_lexicon:TV_pl>
+        <rdfs:range rdf:resource="&xsd;integer"/>
+        <rdfs:subPropertyOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasValue"/>
+    </owl:DatatypeProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRealValue -->
+
+    <owl:DatatypeProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRealValue">
+        <ace_lexicon:TV_pl>hasRealValue</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>hasRealValues</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_vbg>hasRealValued</ace_lexicon:TV_vbg>
+        <rdfs:range rdf:resource="&xsd;double"/>
+        <rdfs:subPropertyOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasValue"/>
+    </owl:DatatypeProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasValue -->
+
+    <owl:DatatypeProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasValue">
+        <rdf:type rdf:resource="&owl;FunctionalProperty"/>
+        <ace_lexicon:TV_pl>hasValue</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_vbg>hasValued</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_sg>hasValues</ace_lexicon:TV_sg>
+        <rdfs:domain rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Parameter"/>
+    </owl:DatatypeProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#isAutonomous -->
+
+    <owl:DatatypeProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#isAutonomous">
+        <rdf:type rdf:resource="&owl;FunctionalProperty"/>
+        <ace_lexicon:TV_vbg>isAutonomoused</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>isAutonomous</ace_lexicon:TV_pl>
+        <ace_lexicon:TV_sg>isAutonomouses</ace_lexicon:TV_sg>
+        <rdfs:range rdf:resource="&xsd;boolean"/>
+    </owl:DatatypeProperty>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#isLinear -->
+
+    <owl:DatatypeProperty rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#isLinear">
+        <rdf:type rdf:resource="&owl;FunctionalProperty"/>
+        <ace_lexicon:TV_sg>isLinears</ace_lexicon:TV_sg>
+        <ace_lexicon:TV_vbg>isLineared</ace_lexicon:TV_vbg>
+        <ace_lexicon:TV_pl>isLinear</ace_lexicon:TV_pl>
+        <rdfs:range rdf:resource="&xsd;boolean"/>
+    </owl:DatatypeProperty>
+    
+
+
+    <!-- 
+    ///////////////////////////////////////////////////////////////////////////////////////
+    //
+    // Classes
+    //
+    ///////////////////////////////////////////////////////////////////////////////////////
+     -->
+
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Area_based -->
+
+    <owl:Class rdf:about="&ont;Area_based">
+        <rdfs:subClassOf rdf:resource="&ont;Discrete_Space"/>
+        <ace_lexicon:CN_sg>Area_based</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Area_baseds</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Continuous_Space -->
+
+    <owl:Class rdf:about="&ont;Continuous_Space">
+        <rdfs:subClassOf rdf:resource="&ont;Space"/>
+        <ace_lexicon:CN_sg>Continuous_Space</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Continuous_Spaces</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Continuous_Time -->
+
+    <owl:Class rdf:about="&ont;Continuous_Time">
+        <rdfs:subClassOf rdf:resource="&ont;Time"/>
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasContinuity"/>
+                <owl:someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuous"/>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <owl:disjointWith rdf:resource="&ont;Discrete_Time"/>
+        <ace_lexicon:CN_sg>Continuous_Time</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Continuous_Times</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Continuous_Time_Model -->
+
+    <owl:Class rdf:about="&ont;Continuous_Time_Model">
+        <rdfs:subClassOf rdf:resource="&ont;Dynamic_Model"/>
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="&ont;hasTime"/>
+                <owl:allValuesFrom rdf:resource="&ont;Continuous_Time"/>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquation"/>
+                <owl:someValuesFrom>
+                    <owl:Class>
+                        <owl:unionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Differential-algebraic_Equation"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Differential_Equation"/>
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Partial_Differential_Equation"/>
+                        </owl:unionOf>
+                    </owl:Class>
+                </owl:someValuesFrom>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <owl:disjointWith rdf:resource="&ont;Discrete_Time_Model"/>
+        <ace_lexicon:CN_pl>Continuous_Time_Models</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Continuous_Time_Model</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Discrete_Space -->
+
+    <owl:Class rdf:about="&ont;Discrete_Space">
+        <rdfs:subClassOf rdf:resource="&ont;Space"/>
+        <ace_lexicon:CN_pl>Discrete_Spaces</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Discrete_Space</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Discrete_Time -->
+
+    <owl:Class rdf:about="&ont;Discrete_Time">
+        <rdfs:subClassOf rdf:resource="&ont;Time"/>
+        <ace_lexicon:CN_sg>Discrete_Time</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Discrete_Times</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Discrete_Time_Model -->
+
+    <owl:Class rdf:about="&ont;Discrete_Time_Model">
+        <rdfs:subClassOf rdf:resource="&ont;Dynamic_Model"/>
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="&ont;hasTime"/>
+                <owl:allValuesFrom rdf:resource="&ont;Discrete_Time"/>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquation"/>
+                <owl:someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Difference_Equation"/>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <ace_lexicon:CN_pl>Discrete_Time_Models</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Discrete_Time_Model</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Dynamic_Model -->
+
+    <owl:Class rdf:about="&ont;Dynamic_Model">
+        <owl:equivalentClass>
+            <owl:Class>
+                <owl:intersectionOf rdf:parseType="Collection">
+                    <rdf:Description rdf:about="&ont;Mathematical_Model"/>
+                    <owl:Restriction>
+                        <owl:onProperty rdf:resource="&ont;hasTime"/>
+                        <owl:someValuesFrom rdf:resource="&ont;Time"/>
+                    </owl:Restriction>
+                </owl:intersectionOf>
+            </owl:Class>
+        </owl:equivalentClass>
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquilibria"/>
+                <owl:someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equilibria"/>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <owl:disjointWith rdf:resource="&ont;Static_Model"/>
+        <ace_lexicon:CN_pl>Dynamic_Models</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Dynamic_Model</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Irregular_Steps -->
+
+    <owl:Class rdf:about="&ont;Irregular_Steps">
+        <rdfs:subClassOf rdf:resource="&ont;Discrete_Time"/>
+        <owl:disjointWith rdf:resource="&ont;Regular_Steps"/>
+        <ace_lexicon:CN_pl>Irregular_Stepses</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Irregular_Steps</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Mathematical_Model -->
+
+    <owl:Class rdf:about="&ont;Mathematical_Model">
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRepresentation"/>
+                <owl:someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Representation"/>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <rdfs:comment rdf:datatype="&xsd;string">Archetypical model class from which all models should derive.</rdfs:comment>
+        <ace_lexicon:CN_sg>Mathematical_Model</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Mathematical_Models</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Modelling_Domain -->
+
+    <owl:Class rdf:about="&ont;Modelling_Domain">
+        <ace_lexicon:CN_pl>Modelling_Domains</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Modelling_Domain</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Point_based -->
+
+    <owl:Class rdf:about="&ont;Point_based">
+        <rdfs:subClassOf rdf:resource="&ont;Discrete_Space"/>
+        <ace_lexicon:CN_pl>Point_baseds</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Point_based</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Regular_Steps -->
+
+    <owl:Class rdf:about="&ont;Regular_Steps">
+        <rdfs:subClassOf rdf:resource="&ont;Discrete_Time"/>
+        <ace_lexicon:CN_sg>Regular_Steps</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Regular_Stepses</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Space -->
+
+    <owl:Class rdf:about="&ont;Space">
+        <ace_lexicon:CN_sg>Space</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Spaces</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Static_Model -->
+
+    <owl:Class rdf:about="&ont;Static_Model">
+        <owl:equivalentClass>
+            <owl:Class>
+                <owl:intersectionOf rdf:parseType="Collection">
+                    <rdf:Description rdf:about="&ont;Mathematical_Model"/>
+                    <owl:Class>
+                        <owl:complementOf rdf:resource="&ont;Dynamic_Model"/>
+                    </owl:Class>
+                </owl:intersectionOf>
+            </owl:Class>
+        </owl:equivalentClass>
+        <ace_lexicon:CN_pl>Static_Models</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Static_Model</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- http://www.co-ode.org/ontologies/ont.owl#Time -->
+
+    <owl:Class rdf:about="&ont;Time">
+        <ace_lexicon:CN_pl>Times</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Time</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Algebraic_Equation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Algebraic_Equation">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <dc:description rdf:datatype="&xsd;string">In mathematics, an algebraic equation, also called polynomial equation over a given field is an equation of the form
+
+    P = Q
+
+where P and Q are (possibly multivariate) polynomials over that field. </dc:description>
+        <rdfs:seeAlso rdf:datatype="&xsd;string">http://mathworld.wolfram.com/AlgebraicEquation.html</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Algebraic_Equations</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Algebraic_Equation</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Algorithmic -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Algorithmic">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Representation"/>
+        <rdfs:comment rdf:datatype="&xsd;string">Model is represented as an algorithim, i.e., a set of rules</rdfs:comment>
+        <ace_lexicon:CN_sg>Algorithmic</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Algorithmics</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Complex -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Complex">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Number_Domain"/>
+        <ace_lexicon:CN_pl>Complexes</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Complex</ace_lexicon:CN_sg>
+        <rdfs:comment>belonging to this class means a variable or parameter belongs to the set of Complex numbers(C)</rdfs:comment>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuity_Partition -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuity_Partition">
+        <owl:equivalentClass>
+            <owl:Class>
+                <owl:unionOf rdf:parseType="Collection">
+                    <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuous"/>
+                    <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Discrete"/>
+                </owl:unionOf>
+            </owl:Class>
+        </owl:equivalentClass>
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Value_Partition"/>
+        <ace_lexicon:CN_sg>Continuity_Partition</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Continuity_Partitions</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuous -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuous">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuity_Partition"/>
+        <owl:disjointWith rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Discrete"/>
+        <ace_lexicon:CN_sg>Continuous</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Continuouses</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Deterministic_Model -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Deterministic_Model">
+        <rdfs:subClassOf>
+            <owl:Class>
+                <owl:intersectionOf rdf:parseType="Collection">
+                    <rdf:Description rdf:about="&ont;Mathematical_Model"/>
+                    <owl:Restriction>
+                        <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquation"/>
+                        <owl:someValuesFrom>
+                            <owl:Class>
+                                <owl:intersectionOf rdf:parseType="Collection">
+                                    <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+                                    <owl:Restriction>
+                                        <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasVariable"/>
+                                        <owl:someValuesFrom>
+                                            <owl:Class>
+                                                <owl:intersectionOf rdf:parseType="Collection">
+                                                    <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Variable"/>
+                                                    <owl:Restriction>
+                                                        <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRandomness"/>
+                                                        <owl:allValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Nonrandom"/>
+                                                    </owl:Restriction>
+                                                </owl:intersectionOf>
+                                            </owl:Class>
+                                        </owl:someValuesFrom>
+                                    </owl:Restriction>
+                                </owl:intersectionOf>
+                            </owl:Class>
+                        </owl:someValuesFrom>
+                    </owl:Restriction>
+                </owl:intersectionOf>
+            </owl:Class>
+        </rdfs:subClassOf>
+        <ace_lexicon:CN_sg>Deterministic_Model</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Deterministic_Models</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Difference_Equation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Difference_Equation">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://en.wikipedia.org/wiki/Difference_equation</rdfs:seeAlso>
+        <ace_lexicon:CN_sg>Difference_Equation</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Difference_Equations</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Differential-algebraic_Equation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Differential-algebraic_Equation">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://en.wikipedia.org/wiki/Differential_algebraic_equation</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Differential-algebraic_Equations</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Differential-algebraic_Equation</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Differential_Equation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Differential_Equation">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <rdfs:comment rdf:datatype="&xsd;string">A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders.</rdfs:comment>
+        <rdfs:seeAlso rdf:datatype="&xsd;string">http://en.wikipedia.org/wiki/Differential_equation</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Differential_Equations</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Differential_Equation</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Discrete -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Discrete">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuity_Partition"/>
+        <ace_lexicon:CN_pl>Discretes</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Discrete</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation">
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasVariable"/>
+                <owl:someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Variable"/>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasParameter"/>
+                <owl:someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Parameter"/>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <rdfs:comment rdf:datatype="&xsd;string">An equation is a mathematical statement that asserts the equality of two expressions. Equations consist of the expressions that have to be equal on opposite sides of an equal sign</rdfs:comment>
+        <rdfs:seeAlso rdf:datatype="&xsd;string">http://en.wikipedia.org/wiki/Equation</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Equations</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Equation</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equilibria -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equilibria">
+        <ace_lexicon:CN_sg>Equilibria</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Equilibrias</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Integer -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Integer">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Number_Domain"/>
+        <rdfs:comment>belonging to this class means a variable or parameter belongs to the set of Integer numbers (Z)</rdfs:comment>
+        <ace_lexicon:CN_pl>Integers</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Integer</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Integral_Equation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Integral_Equation">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://en.wikipedia.org/wiki/Integral_equation</rdfs:seeAlso>
+        <dc:description rdf:datatype="&xsd;string">is an equation in which an unknown function appears under an integral sign.</dc:description>
+        <ace_lexicon:CN_sg>Integral_Equation</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Integral_Equations</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Integro-Differential_Equation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Integro-Differential_Equation">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <dc:description rdf:datatype="&xsd;string">An integro-differential equation is an equation which involves both integrals and derivatives of a function.</dc:description>
+        <rdfs:seeAlso rdf:datatype="&xsd;string">http://en.wikipedia.org/wiki/Integro-differential_equation</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Integro-Differential_Equations</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Integro-Differential_Equation</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Mathematical -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Mathematical">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Representation"/>
+        <rdfs:comment rdf:datatype="&xsd;string">Model is represented in standard mathematical notation, e.g.: equations</rdfs:comment>
+        <ace_lexicon:CN_sg>Mathematical</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Mathematicals</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Nonrandom -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Nonrandom">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Randomness_Partition"/>
+        <owl:disjointWith rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Random"/>
+        <ace_lexicon:CN_sg>Nonrandom</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Nonrandoms</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Number_Domain -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Number_Domain">
+        <rdfs:comment rdf:datatype="&xsd;string">Set of values from which a variable or parameter takes its values from.</rdfs:comment>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://mathworld.wolfram.com/Domain.html</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Number_Domains</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Number_Domain</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#ODE_Model -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#ODE_Model">
+        <owl:equivalentClass>
+            <owl:Class>
+                <owl:intersectionOf rdf:parseType="Collection">
+                    <owl:Class>
+                        <owl:unionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="&ont;Continuous_Time_Model"/>
+                            <owl:Restriction>
+                                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasContinuity"/>
+                                <owl:allValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuous"/>
+                            </owl:Restriction>
+                        </owl:unionOf>
+                    </owl:Class>
+                    <owl:Restriction>
+                        <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquation"/>
+                        <owl:someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Differential_Equation"/>
+                    </owl:Restriction>
+                    <owl:Restriction>
+                        <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasRepresentation"/>
+                        <owl:allValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Mathematical"/>
+                    </owl:Restriction>
+                </owl:intersectionOf>
+            </owl:Class>
+        </owl:equivalentClass>
+        <rdfs:comment rdf:datatype="&xsd;string">Model consisting of one or more ordinary differential equations</rdfs:comment>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://en.wikipedia.org/wiki/Ordinary_differential_equation</rdfs:seeAlso>
+        <ace_lexicon:CN_sg>ODE_Model</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>ODE_Models</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#PDE_Model -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#PDE_Model">
+        <rdfs:subClassOf rdf:resource="&ont;Mathematical_Model"/>
+        <rdfs:subClassOf>
+            <owl:Restriction>
+                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasEquation"/>
+                <owl:someValuesFrom>
+                    <owl:Class>
+                        <owl:intersectionOf rdf:parseType="Collection">
+                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Partial_Differential_Equation"/>
+                            <owl:Restriction>
+                                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasVariable"/>
+                                <owl:someValuesFrom>
+                                    <owl:Class>
+                                        <owl:intersectionOf rdf:parseType="Collection">
+                                            <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Variable"/>
+                                            <owl:Restriction>
+                                                <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasContinuity"/>
+                                                <owl:allValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Continuous"/>
+                                            </owl:Restriction>
+                                        </owl:intersectionOf>
+                                    </owl:Class>
+                                </owl:someValuesFrom>
+                            </owl:Restriction>
+                        </owl:intersectionOf>
+                    </owl:Class>
+                </owl:someValuesFrom>
+            </owl:Restriction>
+        </rdfs:subClassOf>
+        <ace_lexicon:CN_sg>PDE_Model</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>PDE_Models</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Parameter -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Parameter">
+        <owl:disjointWith rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Variable"/>
+        <rdfs:comment rdf:datatype="&xsd;string">A Parameter is typically a constant component of a model.</rdfs:comment>
+        <ace_lexicon:CN_sg>Parameter</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Parameters</ace_lexicon:CN_pl>
+        <rdfs:seeAlso>http://en.wikipedia.org/wiki/Parameter</rdfs:seeAlso>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Partial_Differential_Equation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Partial_Differential_Equation">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+        <dc:description rdf:datatype="&xsd;string">a type of differential equation, i.e., a relation involving an unknown function (or functions) of several independent variables and their partial derivatives with respect to those variables.</dc:description>
+        <rdfs:seeAlso rdf:datatype="&xsd;anyURI">http://en.wikipedia.org/wiki/Partial_differential_equation</rdfs:seeAlso>
+        <ace_lexicon:CN_pl>Partial_Differential_Equations</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Partial_Differential_Equation</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Random -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Random">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Randomness_Partition"/>
+        <ace_lexicon:CN_pl>Randoms</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Random</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Randomness_Partition -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Randomness_Partition">
+        <owl:equivalentClass>
+            <owl:Class>
+                <owl:unionOf rdf:parseType="Collection">
+                    <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Nonrandom"/>
+                    <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Random"/>
+                </owl:unionOf>
+            </owl:Class>
+        </owl:equivalentClass>
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Value_Partition"/>
+        <ace_lexicon:CN_pl>Randomness_Partitions</ace_lexicon:CN_pl>
+        <ace_lexicon:CN_sg>Randomness_Partition</ace_lexicon:CN_sg>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Rational -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Rational">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Number_Domain"/>
+        <ace_lexicon:CN_sg>Rational</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Rationals</ace_lexicon:CN_pl>
+        <rdfs:comment>belonging to this class means a variable or parameter belongs to the set of Rational numbers (Q)</rdfs:comment>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Real -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Real">
+        <rdfs:subClassOf rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Number_Domain"/>
+        <rdfs:comment>belonging to this class means a variable or parameter belongs to the set of real numbers (R)</rdfs:comment>
+        <ace_lexicon:CN_sg>Real</ace_lexicon:CN_sg>
+        <ace_lexicon:CN_pl>Reals</ace_lexicon:CN_pl>
+    </owl:Class>
+    
+
+
+    <!-- https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Representation -->
+
+    <owl:Class rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Representation">
+        <rdfs:subClassOf>
+            <owl:Class>
+                <owl:unionOf rdf:parseType="Collection">
+                    <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Equation"/>
+                    <rdf:Description rdf:about="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Variable"/>
+                    <owl:Restriction>
+                        <owl:onProperty rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#hasComponent"/>
+                        <owl:someValuesFrom rdf:resource="https://bitbucket.org/fccoelho/math-model-ontology/raw/2973f8304c08/Modeling%20Ontology/MathModels.owl#Parameter"/>
+                    </owl:Restriction>
+                </owl:unionOf>
+            </owl:Class>
+        </rdfs:subClassOf>
+        <rdfs:comment rdf:datatype="&xsd;string">this is how a model is formally represented. Originally, two subclasses are envisioned : mathematical and algorithmic (for computational models),</rdfs:comment>