四川师范大学学报（自然科学版）2011，Vol.34Issue(3)：325-330,6.DOI:10.3969/j.issn.1001-8395.2011.03.010
一类具有Beddington-DeAngelis功能反应和脉冲效应的两食饵一捕食者系统的动力学性质
Dynamic Properties of Tow-Prey One-Predator System with Beddington-DeAngelis Functional Response and Impulsive Effect
摘要
Abstract
In this paper, based on the strategy of integrated biology management, a class of tow-prey one-predator system with Beddington-DeAngelis functional response, impulsive ratio harvest and impulsive release is established.By using impulsive comparison theorem, Floquent theory and small amplitude perturbation skill, the critical value of impulsive immigration and sufficient conditions for the system to be extinct and permanence are proved.Moreover, the two sufficient conditions for the extinction of one of two prey and permanence of predator are given.Numerical simulation shows that with the increasing of immigration the system has more complex dynamics including periodic doubling bifurcation, chaos, crises, periodic halving bifurcation, etc.关键词
两食饵-捕食者系统/脉冲微分方程/脉冲比较定理/混沌/Floquent理论Key words
tow-prey one-predator system/ impulsive differential equation/ impulsive comparison theorem/ chaos/ Floquent theory分类
数理科学引用本文复制引用
黄燕革,吴兴杰,秦桂毅,黄勇..一类具有Beddington-DeAngelis功能反应和脉冲效应的两食饵一捕食者系统的动力学性质[J].四川师范大学学报（自然科学版）,2011,34(3):325-330,6.基金项目
国家自然科学基金(10961011)和安徽省高等学校省级自然科学基金(KJ2010B164)资助项目 （10961011）
