华中师范大学学报（自然科学版）2011，Vol.45Issue(3)：356-362,7.
一类具Monod-Haldane功能反应和脉冲效应的一食饵-两捕者系统的复杂动力学性质
Dynamic complexities of a Monod-Haldane one-prey two-predator system with impulsive effect
摘要
Abstract
In this paper, considering the strategy of integrated pest management (IPM), a class of one-prey two-predator system with the Monod-Haldane functional response and impulsive effect at different fixed times is studied. Conditions for the system to be extinct are given via the Floquent theory and small amplitude perturbation skill. It is proved that the system is permanent by using the method of comparison involving multiple Lyapunov Functions. Numerical simulation shows that there exists complexity for system, such as periodic doubling bifurcation, chaos, periodic halving cascade.关键词
食饵-捕食者/脉冲微分系统/分支/混沌/害虫综合管理策略Key words
prey-predator/ impulsive differential system/ bifurcation/ chaos/ integrated pest management分类
数理科学引用本文复制引用
檀大耀,吴兴杰,黄文韬..一类具Monod-Haldane功能反应和脉冲效应的一食饵-两捕者系统的复杂动力学性质[J].华中师范大学学报（自然科学版）,2011,45(3):356-362,7.基金项目
国家自然科学基金项目((10961011). （(10961011）
