<?xml version="1.0" encoding="UTF-8"?>
<!--This mathmodel was generated in VCML Version 0.4-->
<vcml xmlns="http://sourceforge.net/projects/vcell/vcml" Version="0.4">
   <MathModel Name="DIFF_LOTKA_VOLTERRA_New">
      <Geometry Name="box_1" Dimension="2">
         <Extent X="10.0" Y="10.0" Z="10.0" />
         <Origin X="0.0" Y="0.0" Z="0.0" />
         <SubVolume Name="subVolume1" Handle="0" Type="Analytical" KeyValue="31620883">
            <AnalyticExpression>1.0</AnalyticExpression>
         </SubVolume>
         <SurfaceDescription NumSamplesX="101" NumSamplesY="101" NumSamplesZ="1" CutoffFrequency="0.3">
            <VolumeRegion Name="subVolume10" RegionID="0" SubVolume="subVolume1" Size="100.0" Unit="um2" />
         </SurfaceDescription>
         <Version Name="box_1" KeyValue="31620879" BranchId="31620880" Archived="0" Date="02-Feb-2009 14:54:49" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
         </Version>
      </Geometry>
      <MathDescription Name="NoName">
         <Constant Name="a">1.0</Constant>
         <Constant Name="b">1.0</Constant>
         <Constant Name="c">1.0</Constant>
         <Constant Name="d">1.0</Constant>
         <Constant Name="R_N_diffusionRate">0.2</Constant>
         <Constant Name="W_N_diffusionRate">0.2</Constant>
         <VolumeVariable Name="R_N" />
         <VolumeVariable Name="W_N" />
         <Function Name="J_predation">((a * R_N) - (R_N * b * W_N))</Function>
         <Function Name="J_wolfgrowth">((R_N * d * W_N) - (c * W_N))</Function>
         <Function Name="R_N_init">((x &gt; 0.0) * (x &lt; 10.0) * (y &gt; 0.0) * (y &lt; 1.0))</Function>
         <Function Name="W_N_init">(0.5 * (x &gt; 0.0) * (x &lt; 10.0) * (y &gt; 9.0) * (y &lt; 10.0))</Function>
         <CompartmentSubDomain Name="subVolume1" Priority="0">
            <BoundaryType Boundary="Xm" Type="Flux" />
            <BoundaryType Boundary="Xp" Type="Flux" />
            <BoundaryType Boundary="Ym" Type="Flux" />
            <BoundaryType Boundary="Yp" Type="Flux" />
            <BoundaryType Boundary="Zm" Type="Value" />
            <BoundaryType Boundary="Zp" Type="Value" />
            <PdeEquation Name="R_N" SolutionType="Unknown">
               <Boundaries Xm="0.0" Xp="0.0" Ym="0.0" Yp="0.0" />
               <Rate>J_predation</Rate>
               <Diffusion>R_N_diffusionRate</Diffusion>
               <Initial>R_N_init</Initial>
            </PdeEquation>
            <PdeEquation Name="W_N" SolutionType="Unknown">
               <Boundaries Xm="0.0" Xp="0.0" Ym="0.0" Yp="0.0" />
               <Rate>J_wolfgrowth</Rate>
               <Diffusion>W_N_diffusionRate</Diffusion>
               <Initial>W_N_init</Initial>
            </PdeEquation>
         </CompartmentSubDomain>
         <Version Name="NoName" KeyValue="31884858" BranchId="31799805" Archived="0" Date="12-Feb-2009 13:31:08" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
         </Version>
      </MathDescription>
      <Simulation Name="Simulation0">
         <SolverTaskDescription TaskType="Unsteady" UseSymbolicJacobian="false" Solver="Finite Volume, Regular Grid">
            <TimeBound StartTime="0.0" EndTime="1.0" />
            <TimeStep DefaultTime="0.1" MinTime="1.0E-8" MaxTime="1.0" />
            <ErrorTolerance Absolut="1.0E-9" Relative="1.0E-9" />
            <OutputOptions KeepEvery="1" KeepAtMost="1000" />
         </SolverTaskDescription>
         <MathOverrides>
            <Constant Name="a">10.0</Constant>
            <Constant Name="R_N_diffusionRate">2.0</Constant>
            <Constant Name="c">5.0</Constant>
            <Constant Name="W_N_diffusionRate">1.0</Constant>
         </MathOverrides>
         <MeshSpecification>
            <Size X="101" Y="101" Z="1" />
         </MeshSpecification>
         <Version Name="Simulation0" KeyValue="31884860" BranchId="31799808" Archived="0" Date="12-Feb-2009 13:31:08" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
         </Version>
      </Simulation>
      <Simulation Name="Simulation1">
         <SolverTaskDescription TaskType="Unsteady" UseSymbolicJacobian="false" Solver="Finite Volume, Regular Grid">
            <TimeBound StartTime="0.0" EndTime="15.0" />
            <TimeStep DefaultTime="0.0010" MinTime="1.0E-8" MaxTime="1.0" />
            <ErrorTolerance Absolut="1.0E-9" Relative="1.0E-9" />
            <OutputOptions KeepEvery="1" KeepAtMost="1000" />
         </SolverTaskDescription>
         <MathOverrides>
            <Constant Name="a">5.0</Constant>
            <Constant Name="c">3.0</Constant>
         </MathOverrides>
         <MeshSpecification>
            <Size X="101" Y="101" Z="1" />
         </MeshSpecification>
         <Version Name="Simulation1" KeyValue="31884862" BranchId="31800158" Archived="0" Date="12-Feb-2009 13:31:08" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
         </Version>
      </Simulation>
      <Simulation Name="Simulation2">
         <Annotation>r=1,
w=.5</Annotation>
         <SolverTaskDescription TaskType="Unsteady" UseSymbolicJacobian="false" Solver="Finite Volume, Regular Grid">
            <TimeBound StartTime="0.0" EndTime="10.0" />
            <TimeStep DefaultTime="0.0010" MinTime="1.0E-8" MaxTime="1.0" />
            <ErrorTolerance Absolut="1.0E-9" Relative="1.0E-9" />
            <OutputOptions KeepEvery="1" KeepAtMost="1000" />
         </SolverTaskDescription>
         <MathOverrides>
            <Constant Name="R_N_diffusionRate">0.01</Constant>
            <Constant Name="W_N_diffusionRate">0.01</Constant>
         </MathOverrides>
         <MeshSpecification>
            <Size X="101" Y="101" Z="1" />
         </MeshSpecification>
         <Version Name="Simulation2" KeyValue="31884884" BranchId="31884830" Archived="0" Date="12-Feb-2009 13:35:04" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
            <Annotation>r=1,
w=.5</Annotation>
         </Version>
      </Simulation>
      <Version Name="DIFF_LOTKA_VOLTERRA_New" KeyValue="31884886" BranchId="31799811" Archived="0" Date="12-Feb-2009 13:35:04" FromVersionable="false">
         <Owner Name="satarupa" Identifier="29129705" />
         <GroupAccess Type="1" />
      </Version>
   </MathModel>
</vcml>

