Diffusion has no influence on the global asymptotical stability of the Lotka-Volterra prey-predator model incorporating a constant number of prey refuges

被引：5
|
作者：
Yang, Wensheng [1 ]
机构：
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 223卷
关键词：
Positive equilibrium; Diffusion; Prey refuge; Global asymptotical stability; MODIFIED LESLIE-GOWER; QUALITATIVE-ANALYSIS; FUNCTIONAL-RESPONSE; STATIONARY PATTERNS; SYSTEM;
D O I：
10.1016/j.amc.2013.08.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By constructing a suitable Lyapunov function, we obtain the global asymptotical stability of the Lotka-Volterra prey-predator model incorporating a constant number of prey refuges and diffusion. It is shown that diffusion has no influence on the global asymptotical stability of the system with homogeneous Neumann boundary condition. (C) 2013 Elsevier Inc. All rights reserved.
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页码：278 / 280
页数：3
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