Dynamic Analysis of a Predator-Prey (Pest) Model with Disease in Prey and Involving an Impulsive Control Strategy

<table>Strange attractors and power spectra: (a) strange attractor when <svg height="10.9125" id="M336" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 43.737499 10.9125" width="43.737499" 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">𝑇</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="28.63187" y="0">2</tspan>
</text>
</g>
</g>
</svg>, (b) strange attractor when <svg height="10.6875" id="M337" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 43.737499 10.6875" width="43.737499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="28.63187" y="0">1</tspan>
</text>
</g>
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</svg>, (c) power spectrum of attractor (a), and (d) power spectrum of attractor (b).</table>

Journal of Applied Mathematics

fig10

Figure 10

Figure 10: Dynamic Analysis of a Predator-Prey (Pest) Model with Disease in Prey and Involving an Impulsive Control Strategy 