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Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model

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  • Aihua Kang
  • Yakui Xue
  • Jianping Fu

Abstract

A Leslie-Gower ecoepidemic model with disease in the predators is constructed and analyzed. The total population is subdivided into three subclasses, namely, susceptible predator, infected predator, and prey population. The positivity, boundness of solutions, and the existence of the equilibria are studied, and the sufficient conditions of local asymptotic stability of the equilibria are obtained by the Routh-Hurwitz criterion. We analyze the global stability of the interior equilibria by using Lyapunov functions. It is observed that a Hopf bifurcation may occur around the interior equilibrium. At last, numeric simulations are performed in support of the feasibility of the main result.

Suggested Citation

  • Aihua Kang & Yakui Xue & Jianping Fu, 2015. "Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-7, November.
    • Handle: RePEc:hin:jnddns:169242
    DOI: 10.1155/2015/169242
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    References listed on IDEAS

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    1. Sharma, Swarnali & Samanta, G.P., 2015. "A Leslie–Gower predator–prey model with disease in prey incorporating a prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 69-84.
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