Dynamics of an IPM pest-predator model with impulses and stage structure
on predator population
Abstract
Integrated pest management(IPM) has been promoted as an environmentally
friendly pest control approach. It utilizes a combination of control
methods to control pest populations in agricultural and forestry
systems. In this paper, we propose an IPM pest-predator model with
impulses and stage structure on predator population, where the predator
population is divided into two stages, a juvenile stage and a mature
stage. The mature predator’s predation conversion for production of new
predators. This kind of stage-structured pest-predator model has been
omitted in the mathematical models for integrated pest management. The
dynamical properties for the pest-extinction solution and permanence of
system $(2.1)$ are established. The simulations are employed to
support the proofs. Our results provide a good balance between the
biological control and chemical control for integrated pest management.