Positive periodic solutions in delayed Gause-type predator-prey systems

被引：18

作者：

Ding, Xiaoquan ^{[1
,2
]}

Jiang, Jifa ^{[2
]}

机构：

[1] Shanxi Agr Univ, Dept Math & Informat Sci, Shandong 271018, Peoples R China

[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 02期

基金：

中国国家自然科学基金;

关键词：

predator-prey system; periodic solution; time delay; coincidence degree;

D O I：

10.1016/j.jmaa.2007.07.079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of positive periodic solutions in delayed Gause-type predator-prey systems. Some known results are shown to be special cases of the presented paper. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1220 / 1230

页数：11

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