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Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model (2015)

Aihua Kang, Yakui Xue, and Jianping Fu

Hindawi

In: Discrete Dynamics in Nature and Society

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Publication Date: 2015-11-24

Description: 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.

Print ISSN: 1026-0226

Electronic ISSN: 1607-887X

Topics: Mathematics

Published by Hindawi

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