  Microbial pesticides can avoid many of negative effects of traditional
chemical pesticides. To modelling the inhibiting effect, in this paper we
propose a model of entomopathogenic nematodes killing the target insects, and
inhibiting the birth rate of the target insects simultaneously. In the model,
we achieve the purpose of restricting or eliminating pests by continuously
releasing nematodes. By analyzing the stability of the equilibrium of the model
and the stability of the Hopf bifurcation periodic solution, the best solution
to control pests is obtained, and our conclusions are verified by examples and
numerical simulations.
