Global Stability for a Predator-Prey Model with Dispersal among Patches

被引：2

作者：

Gao, Yang ^{[1
,2
]}

Liu, Shengqiang ^{[1
]}

机构：

[1] Harbin Inst Technol, Acad Fundamental & Interdisciplinary Sci, Harbin 150080, Peoples R China

[2] Daqing Normal Univ, Dept Math, Daqing 163712, Heilongjiang, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

2-PATCH ENVIRONMENTS; DYNAMICS; PERMANENCE; FLOCKING; NETWORKS; SYSTEMS; DELAYS;

D O I：

10.1155/2014/176493

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a predator-prey model with dispersal for both predator and prey among n patches; our main purpose is to extend the global stability criteria by Li and Shuai (2010) on a predator-prey model with dispersal for prey among n patches. By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive coexistence equilibrium of this model is unique and globally asymptotically stable if it exists.

引用

页数：6

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