南京理工大学学报（自然科学版）2009，Vol.33Issue(5)：619-625,7.
一类具Holling Ⅳ功能反应的两食饵一捕食者脉冲系统的动力学性质
Dynamic Behavior of Two-prey One-predator Impulsive System with Holling Ⅳ Functional Response
摘要
Abstract
Based on the strategy of integrated pest management, the dynamic behavior of a two-prey one-predator system with Holling Ⅳ functional response, impulsive ratio harvest and constant impulsive release is investigated. By using impulsive comparison theorem, Floquent theory and small amplitude perturbation skill, the critical value of impulsive release is given. One sufficient condition for the two preys to be extinct is proved, and the permanence of the system is proved. Moreover, the two sufficient conditions for the extinction of one of two preys and the permanence of remaining species are given. Numerical simulation shows that: with the increase of constant release, the system has more complex dynamics including periodic doubling bifurcation, chaos and periodic halving bifurcation.关键词
两食饵一捕食者/脉冲微分系统/脉冲比较定理/分支/混沌/Floquent理论Key words
two-prey one-predator/impulsive differential system/impulsive comparison theorem/bifurcation/chaos/Floquent theory分类
数理科学引用本文复制引用
黄文韬,吴兴杰,李伟..一类具Holling Ⅳ功能反应的两食饵一捕食者脉冲系统的动力学性质[J].南京理工大学学报（自然科学版）,2009,33(5):619-625,7.基金项目
国家自然科学基金(10871206) （10871206）
广西高校优秀人才资助计划 （）
