论文标题
建模对微生物农药模型的抑制作用
Modelling the inhibiting effect on a microbial pesticide model
论文作者
论文摘要
微生物农药可以避免传统化学农药的许多负面影响。为了建模抑制作用，在本文中，我们提出了一种杀死靶昆虫的昆虫性线虫模型，并同时抑制靶昆虫的出生率。在模型中，我们实现了通过连续释放线虫来限制或消除害虫的目的。通过分析模型平衡的稳定性和HOPF分叉周期性解决方案的稳定性，可以获得控制害虫的最佳解决方案，并通过示例和数值模拟来验证我们的结论。
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.
