Persistence and stability in general nonautonomous single-species Kolmogorov systems with delays

被引：15
|
作者：
Teng, Zhidong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 01期
基金：
中国国家自然科学基金;
关键词：
single species; nonautonomous system; Kolmogorov system; delay; persistence; global asymptotic stability; positive periodic solution;
D O I：
10.1016/j.nonrwa.2005.08.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the general nonautonomous single-species Kolmogorov systems with delays. The sufficient conditions on the persistence and permanence of species, global asymptotic stability and the existence of positive periodic solutions are established. As applications of these results, the permanence, global asymptotic stability and the existence of positive periodic solutions for a series of special single-species growth systems with delays are discussed. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：230 / 248
页数：19
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