Periodic solutions of a predator-prey model with stage structure for predator

被引：4
|
作者：
Xu, R [1 ]
Chaplain, MAJ
Davidson, FA
机构：
[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland
[2] Inst Shijiazhuang Mech Engn, Dept Math, Shijiazhuang 050003, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 154卷 / 03期
关键词：
stage structure; predator-prey model; periodic solutions; time delays;
D O I：
10.1016/S0096-3003(03)00753-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A delayed periodic predator-prey model with stage structure for predator is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：847 / 870
页数：24
相关论文
共 50 条
12345