基于脉冲控制的害虫管理模型

The pest management model with impulsive control

基于喷洒杀虫剂及投放病虫的综合控制害虫策略,建立了具有脉冲控制的微分方程模型.利用脉冲微分方程的Floquet定理、比较定理,证明了害虫灭绝周期解的全局渐近稳定性与系统的持久性,并利用分支理论给出了正周期解存在的分支参数.

Based on the integrated control strategy with spraying pesticides and releasing infective pests to control pests,we establish a model of differential equations with impulsive control. Using the Floquet Theorem of impulsive differential equations and the Comparison Theorem,the globally asymptotical stability of the periodic solution of susceptible pest eradication and the permanence of the system are proven,and using bifurcation theory the bifurcation parameter for existence of the positive periodic solution is given.