Periodicity in a logistic type system with several delays

被引：55

作者：

Chen, FD ^{[1
]}

Shi, JL ^{[1
]}

机构：

[1] Fuzhou Univ, Dept Math, Fujian 350002, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 48卷 / 1-2期

关键词：

periodic solutions; delay equation; logistic type system; coincidence degree;

D O I：

10.1016/j.camwa.2004.02.001

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 Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of the following several delays logistic type system: [GRAPHICS] where a(t), b(j) (t) are positive periodic continuous functions with periodic omega > 0, pi(j) (t) are nonnegative continuous periodic functions with periodic omega > 0. After that, by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the stability of the positive periodic solutions are obtained. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：35 / 44

页数：10

共 13 条

[1] ULTIMATE BOUNDS AND GLOBAL ASYMPTOTIC STABILITY FOR DIFFERENTIAL-DELAY EQUATIONS [J].