A reaction-diffusion predator-prey model with stage structure and nonlocal delay

被引：19
|
作者：
Rui Xu [1 ]
机构：
[1] Inst Shijiazhuang Mech Engn, Dept Math, Shijiazhuang 050003, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 175卷 / 02期
基金：
中国国家自然科学基金;
关键词：
stage structure; reaction-diffusion; nonlocal delay; functional response; convergence;
D O I：
10.1016/j.amc.2005.08.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a reaction-diffusion predator-prey model with nonlocal delay due to gestation of the predator and stage structure for the prey is investigated. In the case of a general domain, sufficient conditions are derived for the global convergence of positive solutions to the proposed problem by using the energy function method. Numerical simulations are carried out to illustrate the main results. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：984 / 1006
页数：23
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