The Study of a Class of Pest Control Pollution Model with Stage-Structure and Time Delay

Abstract EN

We construct a pest control pollution model with stage-structure for pests and with epidemic in the predator by spraying pesticides and releasing susceptible predators together.

We assume that only the pests and infective predators are affected by pesticide.

We show that there exists a globally attractive pest-extinction periodic solution and we get the condition of global attractiveness of the pest-extinction periodic solution by applying comparison theorem of impulsive differential equation.

Further, the condition for the permanence of the system is also given.