Global behavior of a two-dimensional competitive system of difference equations with stocking

被引：15

作者：

Kulenovic, M. R. S. ^{[1
]}

Nurkanovic, M. ^{[2
]}

机构：

[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA

[2] Univ Tuzla, Dept Math, Tuzla, Bosnia & Herceg

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 55卷 / 7-8期

关键词：

Basin of attraction; Competitive; Map; Global stable manifold; Stability; ASYMPTOTIC-BEHAVIOR; DISCRETE-SYSTEMS; EXCLUSION; COEXISTENCE; PLANE; MODELS;

D O I：

10.1016/j.mcm.2011.11.059

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We investigate the global dynamics of solutions of competitive rational systems of difference equations in the plane. We show that the basins of attractions of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or of non-hyperbolic equilibrium points. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1998 / 2011

页数：14

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