Global attractivity for discrete models of nonautonomous logistic equations

被引：15

作者：

Muroya, Yoshiaki ^{[1
]}

机构：

[1] Waseda Univ, Dept Math Sci, Shinjuku Ku, Tokyo 1698555, Japan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 07期

基金：

日本学术振兴会;

关键词：

global attractivity; discrete model of nonautonomous logistic equation; monotone iterative method; global asymptotic stabiliy; periodic solution;

D O I：

10.1016/j.camwa.2006.12.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the following discrete model of a nonautonomous logistic equation: [GRAPHICS] In this paper, using some kind of iterative method to the above equation, we establish sufficient conditions that ensure the global attractivity for solutions. The result is an extension of the former work [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic equation with piecewise constant arguments, J. Math. Anal. Appl. 294 (2004) 560-580] to the nonautonomous case. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1059 / 1073

页数：15

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