Global asymptotic stability of a ratio-dependent predator-prey system with diffusion

被引：48
|
作者：
Fan, YH [1 ]
Li, WT
机构：
[1] NW Normal Univ, Coll Math & Informat Sci, Lanzhou 730070, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 188卷 / 02期
关键词：
upper and lower solutions; Lyapunov functions; predator-prey system;
D O I：
10.1016/j.cam.2005.04.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a predator-prey system with diffusion. The global asymptotic stability of the unique positive constant equilibrium is obtained under certain conditions. The Method used here is the upper and lower solutions combined with the monotone iteration and constructing suitable Lyapunov functions. (c) 2005 Elsevier B.V. All rights reserved.
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页码：205 / 227
页数：23
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