具有状态依赖脉冲控制的无公害害虫管理模型

摘要

研究具有状态依赖脉冲控制的无公害害虫管理模型，利用微分方程几何理论中后继函数法得到系统阶一周期解存在的充分条件，证明该周期解是轨道渐近稳定的，并对系统进行了数值模拟。%A non-polluted pest management model with state-dependent impulsive control is established. By using successor function of differential equation geometry, the sufficient conditions for the existence and orbital asymptotic stability of order 1 periodic solution are obtained. Finally, numerical simulations are carried out to illustrate the main results.