Global stability in a periodic delayed predator-prey system

被引：11
作者：
Liu, Zhijun [1 ]
Tan, Ronghua
Chen, Lansun
机构：
[1] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 01期
基金：
中国国家自然科学基金;
关键词：
global asymptotic stability; periodic solution; delay predator-prey system; coincidence degree; Lyapunov functional;
D O I：
10.1016/j.amc.2006.07.123
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a periodic delayed predator-prey system according to two types of single-species growth population models with delay. By using some analysis methods, easily verifiable sufficient conditions for the existence and global asymptotic stability of positive periodic solution of the above system are derived. Some previous results are generalized and improved. Biological interpretations on the main results are also given. (c) 2006 Elsevier Inc. All rights reserved.
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页码：389 / 403
页数：15
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