Existence and global stability of periodic solutions of a discrete ratio-dependent food chain model with delay

被引：18
|
作者：
Huo, HF [1 ]
Li, WT
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 162卷 / 03期
基金：
中国国家自然科学基金;
关键词：
food chain model; nonautonomous difference equation; periodic solution; coincidence degree; global stability;
D O I：
10.1016/j.amc.2004.03.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the Continuation theorern base on Gaines and Mawhin's coincidence degree, sufficient and realistic conditions are obtained for the global existence of positive periodic Solutions for a discrete time nonautonomous food chain model, and sufficient conditions for the global stability of positive periodic Solutions are also obtained. Some known results are extended. (C) 2004 Elsevier Inc. All rights reserved.
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页码：1333 / 1349
页数：17
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