Global stability and chaos in a population model with piecewise constant arguments

被引：58

作者：

Liu, PZ ^{[1
]}

Gopalsamy, K ^{[1
]}

机构：

[1] Flinders Univ S Australia, Dept Math & Stat, Adelaide, SA 5042, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 101卷 / 01期

关键词：

D O I：

10.1016/S0096-3003(98)00037-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions are obtained for the global stability of the positive equilibrium of dx/dt = rx(t){1 - ax(t) - b Sigma(j=0)(infinity) c(j)x([t -j])} It is shown that for certain special cases, solutions of the equation can have chaotic behaviour through period doubling bifurcations. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：63 / 88

页数：26

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