Direction and Stability of Bifurcating Periodic Solutions in a Delay-Induced Ecoepidemiological System

<table>Stable coexistence of prey and predator for <svg height="10.9125" id="M365" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 35.325001 10.9125" width="35.325001" 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>
</text>
</g>
</g>
</svg>. Parameter values are given in the text.</table>

International Journal of Differential Equations

fig1

Figure 1

Figure 1: Direction and Stability of Bifurcating Periodic Solutions in a Delay-Induced Ecoepidemiological System 