Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge

<table>The positive equilibrium <svg height="15.25" id="M282" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 18.475 15.25" width="18.475" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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l14 20.5t15 23.5t13.5 21.5l29 -10q-52 -129 -71 -163h-500l6 28q66 4 83 17.5t28 73.5l77 409q11 61 -0.5 75.5t-78.5 18.5l10 28h467z" id="x1D438"></path></g>
<g transform="matrix(.012,-0,0,-.012,10.8,15.187)"><path d="M471 153q-22 -15 -61 -13q-25 31 -45.5 49.5t-56.5 41.5q4 -71 28 -134q-17 -33 -42 -46q-24 12 -42 46q24 63 28 134q-36 -23 -56.5 -41.5t-45.5 -49.5q-36 -2 -61 13q0 28 19 59q65 10 130 43q-65 33 -130 43q-19 31 -19 59q22 15 61 13q25 -31 45.5 -49.5t56.5 -41.5
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</svg> of system (<a href="https://static.hindawi.com/articles/ddns/volume-2012/678957/figures/#EEq2.1">2.1</a>) is globally asymptotically stable.</table>

Discrete Dynamics in Nature and Society

fig2

Figure 2

Figure 2: Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge 