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脉冲控制的带时滞的捕食食饵系统的持续生存和周期解

Permanence and periodic solution of delay predator-prey system with impulse effect
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摘要 讨论了一类脉冲控制的带时滞的捕食食饵系统的动力学行为,首先利用脉冲微分方程比较原理证明了系统的持续生存性,进而证明系统周期解的存在性,给出了周期解全局渐进稳定的充分性条件. Discussed the dynamical behavior of delay predator-prey system with impulsive effect. Proved that the system is permanent under some appropriate conditions by the comparative theorem of impulsive differential equation. Furthermore, obtained a set of sufficient conditions which guarentee the existence and global asymptotic stability of the positive periodic solution.
作者 郭振 师向云
机构地区 信阳师范学院计算与信息技术学院 信阳师范学院数学与信息科学学院
出处 《高师理科学刊》 2009年第3期1-4,共4页 Journal of Science of Teachers＇College and University
基金 河南省教育厅基金项目(2006520012)
关键词 脉冲微分方程 时滞微分方程 周期解 捕食与食饵系统 impulsive differential equation delay differential equation periodic solution predator-prey system
分类号 O175.12 [理学—基础数学]
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参考文献7

  • 1Lu Zhonghua, Chi Xuebin, Chen Lansun. Impulsive control strategies in biological control of pesticide[J]. Theoretical Population Biology, 2003 ( 64 ): 39-47.
  • 2Liu Xianning, Chen Lansun. Complex dynamics of Holling type Ⅱ Lotka-Volterra predator-prey system with impulsive perturbation on the predator[J]. Chaos Solition and Fractals, 2003 ( 16 ): 311-320.
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  • 5张树文,陈兰荪.具有脉冲效应的非自治捕食者-食饵系统周期正解[J].大连理工大学学报,2004,44(3):320-325. 被引量：6
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二级参考文献7

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高师理科学刊
2009年 第3期

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