PERMANENCE AND GLOBAL STABILITY OF POSITIVE SOLUTIONS TO TWO PREDATORSONE PREY SYSTEM WITH A DISCRETE TIME RATIO-DEPENDENT

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2008,（1）
• 页码范围: 65-74
• 页数: 10页
• 分类号: O17

摘要

A three-species ratio-dependent predator-prey discrete model is studied.As a result,sufficient conditions which guarantee the permanence of the model are obtained. In addition,by constructing a suitable Lyapunov function,we derive some sufficient conditions,which ensure that the positive solution of the model is stable and attracts all positive solutions.To illustrate the feasibility of the main results,we introduce an example with corresponding numeric simulations.