Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system

被引：157
|
作者：
Fan, M [1 ]
Wang, K [1 ]
机构：
[1] NE Normal Univ, Dept Math, Changchun 130024, Jilin, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2002年 / 35卷 / 9-10期
关键词：
ratio-dependent predator-prey system; nonautonomous difference equations; periodic solution; coincidence degree;
D O I：
10.1016/S0895-7177(02)00062-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
With the help of differential equations with piecewise constant arguments, we first propose a discrete analogue of continuous time ratio-dependent predator-prey system, which is governed by nonautonomous difference equations, modeling the dynamics of the prey and the predator having nonoverlapping generations. Then, easily verifiable sufficient criteria are established for the existence of positive periodic solutions. The approach is based on the coincidence degree and the related continuation theorem as well as some priori estimates. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：951 / 961
页数：11
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