周期环境下的最优的脉冲控制策略

摘要

研究了周期环境影响下具有脉冲控制的捕食与被捕食模型的全局动态行为,通过Floqnet理论和微分方程比较定理,得到了捕食系统害虫根除周期解的全局稳定性的临界值,进一步数值模拟分析了系统参数如何影响害虫综合控制,得到了最优的脉冲控制策略.%The paper studies the global dynamic behavior of the predator-prey system with pulse perturbation under the seasonal effect. It was proved by using floquet theory and the differential comparison theory that there exists a global stable threshold condition for the pest eradication periodic solution. The numerical analysis was made of how the system parameters influenced the pest control with an optimal strategy for pulse perturbation obtained.