Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays

被引：9

作者：

Xu, Rui ^{[1
]}

Chaplain, M. A. J.

Davidson, F. A.

机构：

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

[2] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China

[3] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 05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：

stage structure; reaction-diffusion; nonlocal delay; steady-state solution; global convergence;

D O I：

10.1016/j.camwa.2007.02.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a Lotka-Volterra type reaction-diffusion predator-prey model with stage structure for the prey and nonlocal delays due to gestation of the predator is investigated. In the case of a general domain, sufficient conditions are obtained for the global convergence of positive solutions of the proposed problem by using the energy function method. Numerical simulations are carried out to illustrate the main results. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：770 / 788

页数：19

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