Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species

被引：2

作者：

Qiao, Meihong ^{[1
]}

Liu, Anping ^{[1
]}

Forys, Urszula ^{[2
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei Province, Peoples R China

[2] Warsaw Univ, Fac Math Informat & Mech, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

GLOBAL STABILITY; DISPERSAL; DYNAMICS; PERMANENCE; SYSTEM; WAVES;

D O I：

10.1155/2014/236208

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A diffusive predator-prey system with disease in predator species and no-flux boundary condition is considered. Sufficient conditions which ensure persistence of the system are obtained. Conditions of disease-free ecosystem are also studied. Furthermore, sufficient conditions for global asymptotic stability of the unique positive equilibrium and disease-free equilibrium of the system are derived using the approach of Lyapunov function.

引用

页数：9

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