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.
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页数：9
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