Global attractivity in nonautonomous logistic equations with delay

被引：43

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.

引用

页码：53 / 63

页数：11

共 11 条

[1]

Cermák J, 2005, DYNAM SYST APPL, V14, P419

[2] Periodicity in a logistic type system with several delays [J].