Global Hopf Bifurcation on Two-Delays Leslie-Gower Predator-Prey System with a Prey Refuge

<table>(a) <svg height="15.25" id="M218" style="vertical-align:-3.135pt" 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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</svg> is asymptotically stable equilibrium at <svg height="15" id="M219" style="vertical-align:-3.135pt" version="1.1" viewbox="0 0 54.287498 15" width="54.287498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> and <svg height="15" id="M220" style="vertical-align:-3.135pt" version="1.1" viewbox="0 0 42.25 15" width="42.25" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>; (b) <svg height="15.25" id="M221" style="vertical-align:-3.135pt" 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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</svg> loses stability and the Hopf bifurcation occurs at <svg height="15.1" id="M222" style="vertical-align:-3.135pt" version="1.1" viewbox="0 0 108.7875 15.1" width="108.7875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>.</table>

Computational and Mathematical Methods in Medicine

fig2

Figure 2

Figure 2: Global Hopf Bifurcation on Two-Delays Leslie-Gower Predator-Prey System with a Prey Refuge 