Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales

被引：0

作者：

Ding, Xiaoquan ^{[1
]}

Liu, Hongyuan ^{[1
]}

Wang, Fengye ^{[1
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Henan, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷

基金：

中国国家自然科学基金;

关键词：

DYNAMIC EQUATIONS; MODELS; PERMANENCE; EXISTENCE;

D O I：

10.1155/2013/368176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to periodic Gause-type ratio-dependent predator-prey systems with monotonic or nonmonotonic numerical responses on time scales. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions. In particular, our results improve and generalize some known ones.

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页数：8

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