Global attractivity in nonautonomous logistic equations with delay

被引：42
|
作者：
Lisena, Benedetta [1 ]
机构：
[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 01期
关键词：
delay equations; logistic equations; asymptotic behaviours; global attractivity;
D O I：
10.1016/j.nonrwa.2006.09.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new criterion is proposed for the global asymptotic stability of the positive periodic solutions to the following delay logistic equation: u'(t) = u (t) [r (t) - a(t)u(t) - b(t)u(t - tau)]. This result is preceded by the stability property of the zero solution to the linear equation x'(t) = -a(t)x(t) - b(t)x(t - tau). Previous investigations are confirmed and generalized. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：53 / 63
页数：11
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