基于限时脉冲控制害虫策略的Gompertz模型

Time-limited Pest Impulsive Control Strategy based on Gompertz Model

基于在限定时间内控制害虫的策略,建立具有Gompertz增长的脉冲微分方程模型,得到该模型的边值解存在的条件,给出计算最大脉冲周期的方法,解决在限定时间内将害虫密度控制在经济阈值之下的问题.

Based on the time-limited pest control strategy,we construct the model of impulsive differential equation with Gompertz growth,and obtain the existence condition of the solution to the boundary value problem of the model.Furthermore,we present the method that can be used to calculate the maximum impulsive period,and solve the problem about how to control the pest density within the economic threshold in a given time.