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        <pre>This is the simple version of the two mathematical models presented by Ho et al. It is a model comprised of simple ordinary differential equations describing the overall epidemic dynamics of influenza infection in the 2017-2018 winter influenza season in Hong Kong.</pre>
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              <rdf:Description rdf:about="#COPASI10">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-11-12T11:44:46Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="false" id="fraction_total" metaid="COPASI11" name="fraction_total" value="1.0566">
        <annotation>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI11">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-11-12T11:43:49Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter id="ModelValue_3" name="Initial for beta" value="2.7516">
        <annotation>
          <initialValue xmlns="http://copasi.org/initialValue" parent="beta"/>
        </annotation>
            </parameter>
      <parameter id="ModelValue_5" name="Initial for w" value="0.45">
        <annotation>
          <initialValue xmlns="http://copasi.org/initialValue" parent="w"/>
        </annotation>
            </parameter>
    </listOfParameters>
    <listOfInitialAssignments>
      <initialAssignment symbol="ModelValue_3">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <ci> beta </ci>
        </math>
            </initialAssignment>
      <initialAssignment symbol="ModelValue_5">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <ci> w </ci>
        </math>
            </initialAssignment>
    </listOfInitialAssignments>
    <listOfRules>
      <assignmentRule variable="k">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <ci> ModelValue_3 </ci>
            <apply>
              <minus/>
              <cn> 1 </cn>
              <ci> ModelValue_5 </ci>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule variable="fraction_total">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <plus/>
            <ci> I </ci>
            <ci> R </ci>
            <ci> S </ci>
            <ci> V </ci>
            <ci> V_e </ci>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule variable="fraction_V">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <ci> V </ci>
            <ci> fraction_total </ci>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule variable="fraction_R">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <ci> R </ci>
            <ci> fraction_total </ci>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule variable="fraction_I">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <ci> I </ci>
            <ci> fraction_total </ci>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule variable="fraction_S">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <ci> S </ci>
            <ci> fraction_total </ci>
          </apply>
        </math>
            </assignmentRule>
    </listOfRules>
    <listOfReactions>
      <reaction id="Susceptible_Individual_Transmission" metaid="COPASI12" name="Susceptible_Individual_Transmission" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI12">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C3439"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI12">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-11-12T11:22:37Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C3439"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference species="S" stoichiometry="1"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="I" stoichiometry="1"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> compartment </ci>
              <apply>
                <ci> Function_for_Susceptible_Individual_Transmission </ci>
                <ci> beta </ci>
                <ci> I </ci>
                <ci> S </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction id="Vaccinated_Population_Growth" metaid="COPASI13" name="Vaccinated_Population_Growth" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI13">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C15346"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI13">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-11-12T11:23:25Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C15346"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference species="S" stoichiometry="1"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="V" stoichiometry="1"/>
          <speciesReference species="V_e" stoichiometry="1"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> compartment </ci>
              <apply>
                <ci> Function_for_Vaccinated_Population_Growth </ci>
                <ci> r </ci>
                <ci> V_e </ci>
                <ci> A </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction id="Vaccinated_Population_Infection" metaid="COPASI14" name="Vaccinated_Population_Infection" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI14">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C3439"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI14">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-11-12T11:24:28Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C3439"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference species="V" stoichiometry="1"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="I" stoichiometry="1"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> compartment </ci>
              <apply>
                <ci> Function_for_Vaccinated_Population_Infection </ci>
                <ci> k </ci>
                <ci> I </ci>
                <ci> V </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction id="Infected_Recovery" metaid="COPASI15" name="Infected_Recovery" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI15">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C25746"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI15">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-11-12T11:25:55Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C25746"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference species="I" stoichiometry="1"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="R" stoichiometry="1"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> compartment </ci>
              <ci> gamma </ci>
              <ci> I </ci>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
    </listOfReactions>
  </model>
</sbml>