A Predator-Prey Model in the Chemostat with Time Delay

<table>The periodic solution disappears and <svg height="15.05" id="M931" style="vertical-align:-3.49493pt" version="1.1" viewbox="0 0 37.8125 15.05" width="37.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.05)">
<g transform="translate(72,-59.96)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.02,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">+</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.53,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝜏</tspan>
<tspan style="font-size: 12.50px; " x="10.565035" y="0">)</tspan>
</text>
</g>
</g>
</svg> regains its stability when <svg height="19.200001" id="M932" style="vertical-align:-4.35121pt" version="1.1" viewbox="0 0 41.612499 19.200001" width="41.612499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,19.2)">
<g transform="translate(72,-56.64)">
<text transform="matrix(1,0,0,-1,-71.95,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜏</tspan>
<tspan style="font-size: 12.50px; " x="9.8648672" y="0">&gt;</tspan>
<tspan style="font-size: 12.50px; " x="21.905256" y="0">𝜏</tspan>
</text>
<text transform="matrix(1,0,0,-1,-43.64,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
<tspan style="font-size: 8.75px; " x="0" y="9.21">0</tspan>
</text>
</g>
</g>
</svg>. In this figure, <svg height="10.9125" id="M933" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 54.862499 10.9125" width="54.862499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜏</tspan>
<tspan style="font-size: 12.50px; " x="9.8648672" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.905256" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.156755" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.282507" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="37.534004" y="0">4</tspan>
</text>
</g>
</g>
</svg>. The other parameters are the same as in Figure <a href="../fig13/">13</a>.</table>

International Journal of Differential Equations

A Predator-Prey Model in the Chemostat with Time Delay

Figure 18