Permanence and stability of a diffusive predator-prey model with disease in the prey

被引：16

作者：

Zhang, Xueli ^{[1
]}

Huang, Yehui ^{[2
]}

Weng, Peixuan ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

[2] Zhongkai Univ Agr & Engn, Sch Computat Sci, Guangzhou 510225, Guangdong, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 68卷 / 10期

关键词：

Diffusive predator-prey system; Disease in the prey; Permanence; Stability; Global attractor; SALTON-SEA; PELICANS; RISK;

D O I：

10.1016/j.camwa.2014.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a 3-dimensional system of the predator prey dynamics with disease for the prey. This system is a reaction-diffusion model with ratio-dependent Michaelis-Menten functional response and diffusion in a bounded domain. By applying the comparison principle, Liapunov function and linearized method, we are able to achieve the sufficient conditions of the permanence, the global stability of the boundary equilibria and the positive equilibrium, and the local stability of the positive equilibrium. Numerical simulations are also given to illustrate the applications. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：1431 / 1445

页数：15

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