Study On A Predator-prey Model With Impulsive State Feedback Control

In Chapter1,some important fundamental theories of semi-continuous dynamical systems are given. In Chapter2,impulsive state feedback control of a model for integrated pest management is established at first,then using successor functions and Poincare-Bendixson theorem of impulsive differential equations,the geometrical analysis of our model are given,and the existence and attrac-tiveness of periodical solutions to our model are investigated. At the end of the paper,according to the Analogue of the Poincare criterion,we show that the periodic solutions of the model is orbitally asymptotically stable under some condition.