| 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 |
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| 引用本文： | 曾广钊.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[J].生物数学学报,2007,22(4):652-660. |
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| 作者姓名： | 曾广钊 |
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| 作者单位： | 韶关学院,数学系,广东,韶关,512005 |
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| 摘 要： | 在文献1]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，并利用它得到了文献1]中所没有涉及到的情况下的状态依赖脉冲微分方程的阶一周期解☆栌在性．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．
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| 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 |
| 文章编号： | 1001-9626（2007）04-0652-09 |
| 收稿时间： | 2006-04-10 |
| 修稿时间： | 2006年4月10日 |
Existence of Periodic Solution of Order one Of State-Depended Impulsive Differential Equations and Its Application in Pest Control |
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| ZENG Guang-zhao.Existence of Periodic Solution of Order one Of State-Depended Impulsive Differential Equations and Its Application in Pest Control[J].Journal of Biomathematics,2007,22(4):652-660. |
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| Authors: | ZENG Guang-zhao |
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| Abstract: | Based on the analysis of state-depended impulsive differential equations in paperl], 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. |
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| Keywords: | State-depended impulsive differential equations Existence of periodic solution of order one Stability of trajectory Asymptotical trajectory |
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