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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 被引量:9

Existence of Periodic Solution of Order one Of State-Depended Impulsive Differential Equations and Its Application in Pest Control
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摘要 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.
作者 曾广钊
机构地区 韶关学院数学系
出处 《生物数学学报》 CSCD 北大核心 2007年第4期652-660,共9页 Journal of Biomathematics
基金 广东省自然科学基金(基金号:06300351)
关键词 状态依赖脉冲微分方程 阶1周期解的存在性 轨道稳定性 吸引性 State-depended impulsive differential equations Existence of periodic solution of order one Stability of trajectory Asymptotical trajectory
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参考文献16

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二级参考文献19

  • 1王万雄,李自珍.一种天敌控制多种害虫作用的模糊数学评价方法[J].生物数学学报,2004,19(4):487-492. 被引量:5
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