状态依赖脉冲微分方程的周期解的存在性及其在害虫治理中的应用

Existence of Periodic Solution of Order one Of State-Depended Impulsive Differential Equations and Its Application in Pest Control

在文献中研究的状态依赖脉冲微分方程的基础上,推广了其中的判定一般性平面自治状态依赖脉冲微分方程的准则,并利用它得列了文献中所没有涉及到的情况下的状态依横脉冲微分方程的阶一周期解的存在性.之后本文以此为基础并结合数值模拟的手段讨论了系统在农业害虫治理中的一些应用意义.

Based on the analysis of state-depended impulsive differential equations in paper[l], this paper has generalized the criterion of existence of periodic solution of order one in [1]. And by using this generalized criterion we get the existence of periodic solution of order one of the system we discussed in the case which is not discussed in [1]. Finally combining the numerical analysis we discussed the appliciation of this system in pest control.