Dynamics of a Stage-Structured Leslie-Gower Predator-Prey Model

<table>The boundary equilibrium <svg height="14.6" id="M405" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 105.4625 14.6" width="105.4625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<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">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,-54.68,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="16.203888" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="22.455387" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="27.656635" y="0">𝑘</tspan>
</text>
<text transform="matrix(1,0,0,-1,-20.24,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,-15.36,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
<text transform="matrix(1,0,0,-1,-10.26,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,-5.39,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">𝑐</tspan>
</text>
<text transform="matrix(1,0,0,-1,3.28,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,8.15,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">)</tspan>
</text>
</g>
</g>
</svg> of System (<a href="https://static.hindawi.com/articles/mpe/volume-2011/149341/figures/#EEq1.9">1.11</a>) is globally asymptotically stable.</table>

Mathematical Problems in Engineering

Dynamics of a Stage-Structured Leslie-Gower Predator-Prey Model

Figure 1