The effect of dispersal on the permanence of a predator-prey system with time delay

被引：23

作者：

Xu, Rui ^{[1
,2
]}

Ma, Zhien ^{[2
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Peoples R China

[2] Xian Jiaotong Univ, Dept Appl Math, Xian 710049, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 02期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

predator-prey model; dispersal; time delay; global stability; permanence; extinction;

D O I：

10.1016/j.nonrwa.2006.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A predator-prey model with prey dispersal and time delay due to the gestation of the predator is investigated. By analyzing the corresponding characteristic equations, the local stability of each of the nonnegative equilibria is discussed. By using an iteration technique, a threshold is derived for the permanence and extinction of the proposed model. Numerical simulations are carried out to illustrate the main results. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：354 / 369

页数：16

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