A Mathematical Study of a Predator-Prey Dynamics with Disease in Predator

<table>The figure indicates the bifurcation diagram for <svg height="13.55" id="M244" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 84.224998 13.55" width="84.224998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛽</tspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">∈</tspan>
<tspan style="font-size: 12.50px; " x="22.480394" y="0">[</tspan>
<tspan style="font-size: 12.50px; " x="26.643892" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="32.895393" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="36.021145" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="42.272644" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="47.486393" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="53.737892" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="56.863644" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="63.115143" y="0">]</tspan>
</text>
</g>
</g>
</svg> and also indicates that all three species coexist in stable position for <svg height="13.55" id="M245" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 47.775002 13.55" width="47.775002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛽</tspan>
<tspan style="font-size: 12.50px; " x="10.440005" y="0">&gt;</tspan>
<tspan style="font-size: 12.50px; " x="22.480394" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.731894" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.857643" y="0">3</tspan>
</text>
</g>
</g>
</svg> and other parameter values given in the Figure <a href="../fig1/">1</a>.</table>

International Scholarly Research Notices

fig4

Figure 4

Figure 4: A Mathematical Study of a Predator-Prey Dynamics with Disease in Predator 