Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission

Abstract

According to biological and chemical control strategy for pest control, we investigate an SI model for pest management, concerning periodic spraying of microbial pesticide and releasing infected pests at different fixed moments. By using Floquet and comparison theorems, we prove that the pest-extinction periodic solution is globally asymptotically stable when the impulsive period T is less than the critical value T_max. Otherwise, the system can be permanent. Our results provide reliable tactic basis for the practical pest management.