Periodicity in a generalized semi-ratio-dependent predator-prey system with time delays and impulses

被引：14

作者：

Ding, Xiaoquan ^{[1
,2
]}

Jiang, Jifa ^{[3
]}

机构：

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

[2] Shandong Agr Univ, Dept Math & Informat Sci, Tai An 271018, Shandong, Peoples R China

[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Predator-prey system; Periodic solution; Semi-ratio-dependent; Delay; Impulse; Coincidence degree; FUNCTIONAL-RESPONSE; DYNAMICS; STABILITY; MODEL; EXISTENCE; GROWTH;

D O I：

10.1016/j.jmaa.2009.06.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the help of a continuation theorem based on coincidence degree theory, we establish necessary and sufficient conditions for the existence of positive periodic solutions in a generalized semi-ratio-dependent predator-prey system with time delays and impulses, which covers many models appeared in the literature. When the results reduce to the semi-ratio-dependent predator-prey system without impulses, they generalize and improve some known ones. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：223 / 234

页数：12

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