Multiple periodic solutions for impulsive Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses

被引：6

作者：

Dai, Binxiang ^{[1
]}

Li, Ying ^{[1
]}

Luo, Zhenguo ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 18期

基金：

中国国家自然科学基金;

关键词：

Ratio-dependent; Impulsive predator-prey system; Non-monotonic functional response; Multiple periodic solutions; Continuation theorem; GLOBAL QUALITATIVE-ANALYSIS; FUNCTIONAL-RESPONSE; MODEL; BIFURCATIONS; DELAY;

D O I：

10.1016/j.amc.2011.02.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence of multiple periodic solutions for impulsive Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses and time delays. Some sufficient conditions are derived by using the continuation theorem of coincidence degree theory and analysis technique. As corollaries, some applications are listed. In particular, the presented criteria improve and extend many previous results in the literature. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：7478 / 7487

页数：10

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