Dynamics of a non-autonomous ratio-dependent food chain model

被引：11
|
作者：
Zeng, Zhijun [1 ]
机构：
[1] NE Normal Univ, KLAS, KLVE, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 03期
关键词：
Permanence; Ultimate boundedness; Extinction; Globally asymptotic stability; Mawhin's coincidence degree; PREDATOR; PERSISTENCE; EXTINCTION;
D O I：
10.1016/j.amc.2009.06.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A simple non-autonomous ratio-dependent food chain model is investigated. It is shown that the system is permanence, extinction, ultimate boundedness and globally asymptotic stability under some appropriate conditions. Moreover, by employing Mawhin's coincidence degree theory, some easily applicable criteria are established for the global existence of positive periodic solution of this model. (C) 2009 Elsevier Inc. All rights reserved.
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页码：1274 / 1287
页数：14
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