A New Approach to Global Stability of Discrete Lotka-Volterra Predator-Prey Models

被引：5

作者：

Kim, Young-Hee ^{[1
]}

Choo, Sangmok ^{[2
]}

机构：

[1] Kwangwoon Univ, Div Gen Educ Math, Seoul 139701, South Korea

[2] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷

关键词：

SYSTEM; DYNAMICS; BIFURCATIONS;

D O I：

10.1155/2015/674027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An Euler difference scheme for a three-dimensional predator-prey model is considered and we introduce a new approach to show the global stability of the scheme. For this purpose, we partition the three-dimensional space and calculate the sign of the rate change of population of species in each partitioned region. Our method is independent of dimension and then can be applicable to other dimensional discrete models. Numerical examples are presented to verify the results in this paper.

引用

页数：11

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