Criteria for Extinction and Permanence in Pest-Control Pollution Model with Beddington-DeAngelis Functional Response

摘要

A hybrid impulsive pest control model with stage structure for pest and Beddington-DeAngelis functional response is proposed and investigated,in which the effects of impulsive pesticide input in the environment and in the organism are considered.The theoretical criterial values for pest extinction and permanence of the system are obtained. Furthermore,numerical simulations are carried out to illustrate our theoretical results and facilitate their interpretation.