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.
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页码：63 / 88
页数：26
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