The Threshold of Pest Control in a Stochastic Malthus Model
The research of pest control problems based on ODE and IDE,especially the problem of pest threshold have had great development.But it is inevitable to be affected by various stochastic factors in the process of pest growth.It is significant to study the threshold problem of pest control under stochastic factors' influence.Given fixed control costs,this paper researches the existence of pest control threshold by employing theoretical and numerical methods when the density of a pest population varies randomly.A sensitivity analysis shows the influence to the pest control with the pest density and other critical parameters volatility.This result can explain the relevant biological conclusion.