Modelling the inhibiting effect on a microbial pesticide model

TL;DR

This paper develops a mathematical model for microbial pesticides involving nematodes that kill pests and inhibit their reproduction, analyzing stability and bifurcation to optimize pest control strategies.

Contribution

It introduces a novel model combining pest inhibition and nematode release, with stability analysis to determine optimal pest management solutions.

Findings

Model effectively predicts pest suppression through nematode release.

Stability analysis identifies conditions for pest eradication.

Numerical simulations validate the model's effectiveness.

Abstract

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.