Multiple positive periodic solutions of a delayed discrete predator-prey system with type IV functional responses

被引：27
|
作者：
Zhang, Weipeng [1 ]
Zhu, Deming [1 ]
Bi, Ping [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 10期
基金：
中国国家自然科学基金;
关键词：
predator-prey systems; difference equations; type IV functional response; positive periodic solution; coincidence degree;
D O I：
10.1016/j.aml.2006.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a discrete periodic predator-prey system with type IV functional responses and time delay is investigated. Using Gaines and Mawhin's continuation theorem from coincidence degree theory as well as some prior estimates, we get sufficient conditions for the existence of positive periodic solutions of the system. This is also the first time that the coincidence degree theory has been used to obtain multiple positive periodic solutions in discrete ecological systems. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：1031 / 1038
页数：8
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