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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