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.
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页码：223 / 234
页数：12
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