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        <Metadata-attribute name="Subject" value="A mathematical model for interspecific competition"/>
        <Metadata-attribute name="Author" value="Jesper Michael M\303\270ller"/>
        <Metadata-attribute name="Keywords" value="Nonlinear 2-population model, equilibrium"/>
        <Metadata-attribute name="Title" value="Interspecific competition"/>
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<Text-field style="Text" layout="Normal">The model for interspecific competition is</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal">and the equilibria for this model are</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal">Well, this becomes a little confusing.</Text-field>
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<Input>
<Text-field style="Text" layout="Normal">In the following we consider models with K1=2, K2=1, and r=0.5, u=0.5. The two remaining parameters, s and v, will be chosen so that in </Text-field>
<Text-field style="Text" layout="Normal">Case 1: One species will dominate (independent of the initial population phase)</Text-field>
<Text-field style="Text" layout="Normal">Case 2: Either one of the two species may dominate depending on the initial population phase</Text-field>
<Text-field style="Text" layout="Normal">Case 3: The two species will coexist</Text-field>
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<Text-field style="Text" layout="Normal"><Font opaque="true" background="[255,255,0]">Case 1. One species will dominate.</Font> </Text-field>
<Text-field style="Text" layout="Normal">When s&lt;K1/K2=2 and v&gt;K2/K1=1/2, species 1 will dominate.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(F, IC(2, .5, 1.9, 1, .5, .6));" display="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">QyQ+SSJGRzYiLUkjSUNHRiU2KCIiIyQiIiYhIiIkIiM+RiwiIiJGKiQiIidGLEYv</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="equi2(F);" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEmZXF1aTJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYlUSJGRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkAtSSNtb0dGJDYtUSI7RidGQC8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnRj1GQA==">QyQtSSZlcXVpMkc2IjYjSSJGR0YlIiIi</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(growth(F, 2.1, 1.1), implicitplot([VectorCalculus:-`+`(P[1], VectorCalculus:-`*`(1.9, P[2])) = 2, VectorCalculus:-`+`(VectorCalculus:-`*`(.6, P[1]), P[2]) = 1], P[1] = 0 .. 2.1, P[2] = 0 .. 1.1, color = [blue, red]));" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEoZGlzcGxheUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYqLUYsNiVRJ2dyb3d0aEYnRi9GMi1GNjYkLUYjNiktRiw2JVEiRkYnRi9GMi1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGTC8lKnN5bW1ldHJpY0dGTC8lKGxhcmdlb3BHRkwvJS5tb3ZhYmxlbGltaXRzR0ZMLyUnYWNjZW50R0ZMLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictSSNtbkdGJDYkUSQyLjFGJ0ZIRkQtRmpuNiRRJDEuMUYnRkgvJStleGVjdXRhYmxlR0ZMRkhGSEZELUZFNi1RIn5GJ0ZIRkovRk5GTEZPRlFGU0ZVRldGWS9GZ25GZW4tRiw2JVEtaW1wbGljaXRwbG90RidGL0YyLUY2NiQtRiM2Ni1GNjYmLUYjNjQtSSVtc3ViR0YkNiUtRiw2JVEiUEYnRi9GMi1GIzYlLUZqbjYkUSIxRidGSEYvRjIvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GRTYtUSIrRidGSEZKRmVvRk9GUUZTRlVGVy9GWlEsMC4yMjIyMjIyZW1GJy9GZ25GZHEtRmpuNiRRJDEuOUYnRkgtRkU2LVEnJnNkb3Q7RidGSEZKRmVvRk9GUUZTRlVGV0ZZRmZvLUZjcDYlRmVwLUYjNiUtRmpuNiRRIjJGJ0ZIRi9GMkZdcS1GRTYtUSI9RidGSEZKRmVvRk9GUUZTRlVGVy9GWlEsMC4yNzc3Nzc4ZW1GJy9GZ25GZ3JGYHJGREZiby1Gam42JFEkMC42RidGSEZpcUZicEZgcUZcckZjckZqcEZgb0ZIRkgvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGREZib0ZicEZjci1Gam42JFEiMEYnRkgtRkU2LVEjLi5GJ0ZIRkpGZW9GT0ZRRlNGVUZXRmNxRmZvRmluRkRGXHJGY3JGYnNGZXNGXW9GRC1GLDYlUSZjb2xvckYnRi9GMkZjci1GNjYmLUYjNictRiw2JVElYmx1ZUYnRi9GMkZELUYsNiVRJHJlZEYnRi9GMkZgb0ZIRkhGXHNGX3NGYG9GSEZIRmBvRkhGSC1GRTYtUSI7RidGSEZKRk1GT0ZRRlNGVUZXRllGaHJGYG9GSA==">QyQtSShkaXNwbGF5RzYiNiQtSSdncm93dGhHRiU2JUkiRkdGJSQiI0AhIiIkIiM2Ri0tSS1pbXBsaWNpdHBsb3RHRiU2JjckLy1JIitHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSS9WZWN0b3JDYWxjdWx1c0c2JEY4SShfc3lzbGliR0YlNiQmSSJQR0YlNiMiIiItSSIqR0Y3NiQkIiM+Ri0mRkA2IyIiI0ZKLy1GNjYkLUZENiQkIiInRi1GP0ZIRkIvRj87IiIhRisvRkg7RlRGLi9JJmNvbG9yR0YlNyRJJWJsdWVHRiVJJHJlZEdGJUZC</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(dirfield(F, 2.1, 1.1), implicitplot([VectorCalculus:-`+`(P[1], VectorCalculus:-`*`(1.9, P[2])) = 2, VectorCalculus:-`+`(VectorCalculus:-`*`(.6, P[1]), P[2]) = 1], P[1] = 0 .. 2.1, P[2] = 0 .. 1.1, color = [blue, red]));" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEoZGlzcGxheUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYpLUYsNiVRKWRpcmZpZWxkRidGL0YyLUY2NiQtRiM2KC1GLDYlUSJGRidGL0YyLUkjbW9HRiQ2LVEiLEYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZMLyUqc3ltbWV0cmljR0ZMLyUobGFyZ2VvcEdGTC8lLm1vdmFibGVsaW1pdHNHRkwvJSdhY2NlbnRHRkwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1JI21uR0YkNiRRJDIuMUYnRkhGRC1Gam42JFEkMS4xRidGSEZIRkhGRC1GRTYtUSJ+RidGSEZKL0ZORkxGT0ZRRlNGVUZXRlkvRmduRmVuLUYsNiVRLWltcGxpY2l0cGxvdEYnRi9GMi1GNjYkLUYjNjYtRjY2Ji1GIzYzLUklbXN1YkdGJDYlLUYsNiVRIlBGJ0YvRjItRiM2JC1Gam42JFEiMUYnRkhGSC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUZFNi1RIitGJ0ZIRkpGY29GT0ZRRlNGVUZXL0ZaUSwwLjIyMjIyMjJlbUYnL0ZnbkZicS1Gam42JFEkMS45RidGSC1GRTYtUScmc2RvdDtGJ0ZIRkpGY29GT0ZRRlNGVUZXRllGZG8tRmFwNiVGY3AtRiM2JC1Gam42JFEiMkYnRkhGSEZbcS1GRTYtUSI9RidGSEZKRmNvRk9GUUZTRlVGVy9GWlEsMC4yNzc3Nzc4ZW1GJy9GZ25GZXJGXnJGREZgby1Gam42JFEkMC42RidGSEZncUZgcEZecUZqcUZhckZocEZIRkgvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGREZgb0ZgcEZhci1Gam42JFEiMEYnRkgtRkU2LVEjLi5GJ0ZIRkpGY29GT0ZRRlNGVUZXRmFxRmRvRmluRkRGanFGYXJGYHNGY3NGXW9GREZgby1GLDYlUSZjb2xvckYnRi9GMkZhci1GNjYmLUYjNiYtRiw2JVElYmx1ZUYnRi9GMkZELUYsNiVRJHJlZEYnRi9GMkZIRkhGanJGXXNGSEZIRkhGSC1GRTYtUSI7RidGSEZKRk1GT0ZRRlNGVUZXRllGZnIvJStleGVjdXRhYmxlR0ZMRkg=">QyQtSShkaXNwbGF5RzYiNiQtSSlkaXJmaWVsZEdGJTYlSSJGR0YlJCIjQCEiIiQiIzZGLS1JLWltcGxpY2l0cGxvdEdGJTYmNyQvLUkiK0c2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiVJL1ZlY3RvckNhbGN1bHVzRzYkRjhJKF9zeXNsaWJHRiU2JCZJIlBHRiU2IyIiIi1JIipHRjc2JCQiIz5GLSZGQDYjIiIjRkovLUY2NiQtRkQ2JCQiIidGLUY/RkhGQi9GPzsiIiFGKy9GSDtGVEYuL0kmY29sb3JHRiU3JEklYmx1ZUdGJUkkcmVkR0YlRkI=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(seq(phasedia(F, P0, 100), P0 = `union`({seq(`&lt;,&gt;`(.1, VectorCalculus:-`*`(0.5e-1, j)), j = 1 .. 10)}, {seq(`&lt;,&gt;`(VectorCalculus:-`+`(.4, VectorCalculus:-`*`(.1, j)), 1.1), j = 1 .. 20)})), dirfield(F, 2.1, 1.1), implicitplot([VectorCalculus:-`+`(P[1], VectorCalculus:-`*`(1.9, P[2])) = 2, VectorCalculus:-`+`(VectorCalculus:-`*`(.6, P[1]), P[2]) = 1], P[1] = 0 .. 2.1, P[2] = 0 .. 1.1, color = [blue, red]));" display="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">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEpdGltZXBsb3RGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2Jy1GLDYlUSJGRidGL0YyLUkjbW9HRiQ2LVEiLEYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GNjYmLUYjNiUtSSNtbkdGJDYkUSQwLjFGJ0ZBRj0tRmduNiRRJDAuNUYnRkFGQS8lJW9wZW5HUScmbGFuZztGJy8lJmNsb3NlR1EnJnJhbmc7RidGPS1GZ242JFEkMTAwRidGQUZBLUY+Ni1RIjtGJ0ZBRkNGRkZIRkpGTEZORlBGUi9GVlEsMC4yNzc3Nzc4ZW1GJw==</Equation></Text-field>
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<Text-field style="Text" layout="Normal">When s&gt;K1/K2=2 and v&lt;K2/K1=1/2, species 2 will dominate.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(seq(phasedia(F, P0, 100), P0 = `union`({seq(`&lt;,&gt;`(VectorCalculus:-`*`(.1, i), .1), i = 1 .. 15)}, {seq(`&lt;,&gt;`(2.1, VectorCalculus:-`*`(.1, j)), j = 1 .. 10)})), dirfield(F, 2.1, 1.1), implicitplot([VectorCalculus:-`+`(P[1], VectorCalculus:-`*`(2.1, P[2])) = 2, VectorCalculus:-`+`(VectorCalculus:-`*`(.4, P[1]), P[2]) = 1], P[1] = 0 .. 2.1, P[2] = 0 .. 1.1, color = [blue, red]));" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEoZGlzcGxheUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYtLUYsNiVRJHNlcUYnRi9GMi1GNjYkLUYjNi0tRiw2JVEpcGhhc2VkaWFGJ0YvRjItRjY2JC1GIzYpLUYsNiVRIkZGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRlMvJSpzeW1tZXRyaWNHRlMvJShsYXJnZW9wR0ZTLyUubW92YWJsZWxpbWl0c0dGUy8lJ2FjY2VudEdGUy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRI1AwRidGL0YyRkstSSNtbkdGJDYkUSQxMDBGJ0ZPLyUrZXhlY3V0YWJsZUdGU0ZPRk9GS0Zgby1GTDYtUSI9RidGT0ZRL0ZVRlNGVkZYRlpGZm5GaG4vRltvUSwwLjI3Nzc3NzhlbUYnL0Zeb0ZecC1GNjYmLUYjNiZGOi1GNjYkLUYjNistRjY2Ji1GIzYpLUZkbzYkUSQwLjFGJ0ZPLUZMNi1RJyZzZG90O0YnRk9GUUZccEZWRlhGWkZmbkZobkZqbi9GXm9GXG8tRiw2JVEiaUYnRi9GMkZLRlxxRmdvRk9GTy8lJW9wZW5HUScmbGFuZztGJy8lJmNsb3NlR1EnJnJhbmc7RidGS0ZjcUZpby1GZG82JFEiMUYnRk8tRkw2LVEjLi5GJ0ZPRlFGXHBGVkZYRlpGZm5GaG4vRltvUSwwLjIyMjIyMjJlbUYnRmJxLUZkbzYkUSMxNUYnRk9GZ29GT0ZPRmdvRk9GTy9GZ3FRInxmckYnL0ZqcVEifGhyRictRkw2LVEifkYnRk9GUUZccEZWRlhGWkZmbkZobkZqbkZicS1GTDYtUSgmVW5pb247RidGT0ZRRlxwL0ZXRjFGWEZaL0ZnbkYxRmhuRmpuL0Zeb1EsMC4xNjY2NjY3ZW1GJy1GNjYmLUYjNiZGOi1GNjYkLUYjNiwtRjY2Ji1GIzYpLUZkbzYkUSQyLjFGJ0ZPRktGXHFGX3EtRiw2JVEiakYnRi9GMkZnb0ZPRk9GZnFGaXFGS0Zbc0ZkdEZpb0ZcckZfci1GZG82JFEjMTBGJ0ZPRmdvRk9GT0Znb0ZPRk9GZ3JGaXJGZ29GT0ZPRkstRiw2JVEpZGlyZmllbGRGJ0YvRjItRjY2JC1GIzYpRkhGS0ZhdEZLLUZkbzYkUSQxLjFGJ0ZPRmdvRk9GT0ZLRltzLUYsNiVRLWltcGxpY2l0cGxvdEYnRi9GMi1GNjYkLUYjNjUtRjY2Ji1GIzYzLUklbXN1YkdGJDYlLUYsNiVRIlBGJ0YvRjItRiM2JEZcckZPLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRkw2LVEiK0YnRk9GUUZccEZWRlhGWkZmbkZobkZici9GXm9GY3JGYXRGX3EtRmB2NiVGYnYtRiM2JC1GZG82JFEiMkYnRk9GT0ZndkZpb0Zid0ZLRltzLUZkbzYkUSQwLjRGJ0ZPRl9xRl92Rmp2Rl53RmlvRlxyRk9GTy9GZ3FRIltGJy9GanFRIl1GJ0ZLRltzRl92RmlvLUZkbzYkUSIwRidGT0ZfckZhdEZLRl53RmlvRlx4Rl9yRmF1RkstRiw2JVEmY29sb3JGJ0YvRjJGaW8tRjY2Ji1GIzYmLUYsNiVRJWJsdWVGJ0YvRjJGSy1GLDYlUSRyZWRGJ0YvRjJGT0ZPRmh3Rmp3Rk9GT0Znb0ZPRk8tRkw2LVEiO0YnRk9GUUZURlZGWEZaRmZuRmhuRmpuRl9wRmdvRk8=">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font opaque="true" background="[255,255,0]">Case 2. Both species may dominate.</Font></Text-field>
<Text-field style="Text" layout="Normal">When s&gt;K1/K2=2 and v&gt;K2/K1=1/2, both species may dominate, the outcome of the competition depends on the initial population phase. </Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(growth(F, 2.1, 1.1), implicitplot([VectorCalculus:-`+`(P[1], VectorCalculus:-`*`(2.5, P[2])) = 2, VectorCalculus:-`+`(VectorCalculus:-`*`(.6, P[1]), P[2]) = 1], P[1] = 0 .. 2.1, P[2] = 0 .. 1.1, color = [blue, red]));" display="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">QyQtSShkaXNwbGF5RzYiNiQtSSdncm93dGhHRiU2JUkiRkdGJSQiI0AhIiIkIiM2Ri0tSS1pbXBsaWNpdHBsb3RHRiU2JjckLy1JIitHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YlSS9WZWN0b3JDYWxjdWx1c0c2JEY4SShfc3lzbGliR0YlNiQmSSJQR0YlNiMiIiItSSIqR0Y3NiQkIiNERi0mRkA2IyIiI0ZKLy1GNjYkLUZENiQkIiInRi1GP0ZIRkIvRj87IiIhRisvRkg7RlRGLi9JJmNvbG9yR0YlNyRJJWJsdWVHRiVJJHJlZEdGJUZC</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(seq(phasedia(F, P0, 100), P0 = `union`({seq(`&lt;,&gt;`(2.1, VectorCalculus:-`+`(.5, VectorCalculus:-`*`(0.5e-1, j))), j = VectorCalculus:-`-`(4) .. 5)}, {seq(`&lt;,&gt;`(1.5, VectorCalculus:-`+`(.6, VectorCalculus:-`*`(0.5e-1, j))), j = 0 .. 10)})), dirfield(F, 2.1, 1.1), implicitplot([VectorCalculus:-`+`(P[1], VectorCalculus:-`*`(2.5, P[2])) = 2, VectorCalculus:-`+`(VectorCalculus:-`*`(.6, P[1]), P[2]) = 1], P[1] = 0 .. 2.1, P[2] = 0 .. 1.1, color = [blue, red]));" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEoZGlzcGxheUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYsLUYsNiVRJHNlcUYnRi9GMi1GNjYkLUYjNi4tRiw2JVEpcGhhc2VkaWFGJ0YvRjItRjY2JC1GIzYoLUYsNiVRIkZGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRlMvJSpzeW1tZXRyaWNHRlMvJShsYXJnZW9wR0ZTLyUubW92YWJsZWxpbWl0c0dGUy8lJ2FjY2VudEdGUy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRI1AwRidGL0YyRkstSSNtbkdGJDYkUSQxMDBGJ0ZPRk9GT0ZLRmBvLUZMNi1RIj1GJ0ZPRlEvRlVGU0ZWRlhGWkZmbkZobi9GW29RLDAuMjc3Nzc3OGVtRicvRl5vRlxwLUY2NiYtRiM2JkY6LUY2NiQtRiM2LC1GNjYmLUYjNistRmRvNiRRJDIuMUYnRk9GSy1GZG82JFEkMC41RidGTy1GTDYtUSIrRidGT0ZRRmpvRlZGWEZaRmZuRmhuL0Zbb1EsMC4yMjIyMjIyZW1GJy9GXm9GZHEtRmRvNiRRJTAuMDVGJ0ZPLUZMNi1RJyZzZG90O0YnRk9GUUZqb0ZWRlhGWkZmbkZobkZqbi9GXm9GXG8tRiw2JVEiakYnRi9GMi8lK2V4ZWN1dGFibGVHRlNGT0ZPLyUlb3BlbkdRJyZsYW5nO0YnLyUmY2xvc2VHUScmcmFuZztGJ0ZLRl1yRmdvLUZMNi1RKiZ1bWludXMwO0YnRk9GUUZqb0ZWRlhGWkZmbkZobkZjcUZlcS1GZG82JFEiNEYnRk8tRkw2LVEjLi5GJ0ZPRlFGam9GVkZYRlpGZm5GaG5GY3FGXHItRmRvNiRRIjVGJ0ZPRmByRk9GT0ZgckZPRk8vRmNyUSJ8ZnJGJy9GZnJRInxockYnLUZMNi1RIn5GJ0ZPRlFGam9GVkZYRlpGZm5GaG5Gam5GXHItRkw2LVEoJlVuaW9uO0YnRk9GUUZqby9GV0YxRlhGWi9GZ25GMUZobkZqbi9GXm9RLDAuMTY2NjY2N2VtRidGaHMtRjY2Ji1GIzYmRjotRjY2JC1GIzYrLUY2NiYtRiM2Ky1GZG82JFEkMS41RidGT0ZLLUZkbzYkUSQwLjZGJ0ZPRmBxRmZxRmlxRl1yRmByRk9GT0ZickZlckZLRl1yRmdvLUZkbzYkUSIwRidGT0Zecy1GZG82JFEjMTBGJ0ZPRmByRk9GT0ZgckZPRk9GZHNGZnNGYHJGT0ZPRkstRiw2JVEpZGlyZmllbGRGJ0YvRjItRjY2JC1GIzYoRkhGS0ZqcEZLLUZkbzYkUSQxLjFGJ0ZPRk9GT0ZLLUYsNiVRLWltcGxpY2l0cGxvdEYnRi9GMi1GNjYkLUYjNjUtRjY2Ji1GIzYzLUklbXN1YkdGJDYlLUYsNiVRIlBGJ0YvRjItRiM2JC1GZG82JFEiMUYnRk9GTy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRmBxLUZkbzYkUSQyLjVGJ0ZPRmlxLUZgdzYlRmJ3LUYjNiQtRmRvNiRRIjJGJ0ZPRk9GandGZ29GZHhGS0Zoc0ZhdUZpcUZfd0ZgcUZgeEZnb0Znd0ZPRk8vRmNyUSJbRicvRmZyUSJdRidGS0Zoc0Zfd0Znb0ZkdUZec0ZqcEZLRmB4RmdvRmR1Rl5zRmF2RkstRiw2JVEmY29sb3JGJ0YvRjJGZ28tRjY2Ji1GIzYmLUYsNiVRJWJsdWVGJ0YvRjJGSy1GLDYlUSRyZWRGJ0YvRjJGT0ZPRmd4Rml4Rk9GT0ZgckZPRk8tRkw2LVEiO0YnRk9GUUZURlZGWEZaRmZuRmhuRmpuRl1wRmByRk8=">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(seq(phasedia(F, P0, 50), P0 = `union`(`union`({seq(`&lt;,&gt;`(2.1, VectorCalculus:-`+`(.5, VectorCalculus:-`*`(0.5e-1, j))), j = VectorCalculus:-`-`(4) .. 5)}, {seq(`&lt;,&gt;`(1.5, VectorCalculus:-`+`(.6, VectorCalculus:-`*`(0.5e-1, j))), j = 0 .. 10)}), {seq(`&lt;,&gt;`(.1, VectorCalculus:-`*`(0.5e-2, j)), j = 0 .. 20)})));" display="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">QyQtSShkaXNwbGF5RzYiNiMtSSRzZXFHJSpwcm90ZWN0ZWRHNiQtSSlwaGFzZWRpYUdGJTYlSSJGR0YlSSNQMEdGJSIjXS9GLy1JJnVuaW9uR0YpNiQtRjM2JDwjLUYoNiQtSSQ8LD5HRiU2JCQiI0AhIiItSSIrRzYkRikvSSttb2R1bGVuYW1lR0YlSS9WZWN0b3JDYWxjdWx1c0c2JEYpSShfc3lzbGliR0YlNiQkIiImRj8tSSIqR0ZCNiQkRkohIiNJImpHRiUvRlA7LUkiLUdGQjYjIiIlRko8Iy1GKDYkLUY7NiQkIiM6Rj8tRkE2JCQiIidGP0ZLL0ZQOyIiISIjNTwjLUYoNiQtRjs2JCQiIiJGPy1GTDYkJEZKISIkRlAvRlA7Rl5vIiM/RmZv</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font opaque="true" background="[255,255,0]">Case 3. The two species will coexist.</Font></Text-field>
<Text-field style="Text" layout="Normal">When s&lt;K1/K2=2 and v&lt;K2/K1=1/2, the two species will coexist.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(seq(phasedia(F, P0, 20), P0 = `union`({seq(`&lt;,&gt;`(2.1, VectorCalculus:-`+`(.5, VectorCalculus:-`*`(0.5e-1, j))), j = VectorCalculus:-`-`(4) .. 5)}, {seq(`&lt;,&gt;`(VectorCalculus:-`*`(.1, i), 1.1), i = 1 .. 14)})), dirfield(F, 2.1, 1.1), implicitplot([VectorCalculus:-`+`(P[1], VectorCalculus:-`*`(1.5, P[2])) = 2, VectorCalculus:-`+`(VectorCalculus:-`*`(.4, P[1]), P[2]) = 1], P[1] = 0 .. 2.1, P[2] = 0 .. 1.1, color = [blue, red]));" display="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">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(seq(phasedia(F, P0, 50), P0 = `union`(`union`(`union`({seq(`&lt;,&gt;`(2.1, VectorCalculus:-`+`(.5, VectorCalculus:-`*`(0.5e-1, j))), j = VectorCalculus:-`-`(4) .. 5)}, {seq(`&lt;,&gt;`(VectorCalculus:-`*`(.1, i), 1.1), i = 1 .. 14)}), {seq(`&lt;,&gt;`(VectorCalculus:-`+`(.2, VectorCalculus:-`*`(.1, i)), 0.5e-1), i = 0 .. 9)}), {seq(`&lt;,&gt;`(.1, VectorCalculus:-`*`(0.5e-1, j)), j = 0 .. 20)})));" display="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">QyQtSShkaXNwbGF5RzYiNiMtSSRzZXFHJSpwcm90ZWN0ZWRHNiQtSSlwaGFzZWRpYUdGJTYlSSJGR0YlSSNQMEdGJSIjXS9GLy1JJnVuaW9uR0YpNiQtRjM2JC1GMzYkPCMtRig2JC1JJDwsPkdGJTYkJCIjQCEiIi1JIitHNiRGKS9JK21vZHVsZW5hbWVHRiVJL1ZlY3RvckNhbGN1bHVzRzYkRilJKF9zeXNsaWJHRiU2JCQiIiZGQS1JIipHRkQ2JCRGTCEiI0kiakdGJS9GUjstSSItR0ZENiMiIiVGTDwjLUYoNiQtRj02JC1GTjYkJCIiIkZBSSJpR0YlJCIjNkZBL0ZcbztGW28iIzk8Iy1GKDYkLUY9NiQtRkM2JCQiIiNGQUZobkZQL0ZcbzsiIiEiIio8Iy1GKDYkLUY9NiRGam5GTS9GUjtGXXAiIz9GW28=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=</Equation></Text-field>
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