| 一类状态反馈脉冲控制的捕食者-食饵动力系统 |
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| 引用本文： | 黄明湛,段光爽,宋新宇. 一类状态反馈脉冲控制的捕食者-食饵动力系统[J]. 应用数学, 2012, 25(3): 661-666 |
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| 作者姓名： | 黄明湛 段光爽 宋新宇 |
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| 作者单位： | 信阳师范学院数学与信息科学学院,河南信阳,464000 |
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| 基金项目： | 国家自然科学基金(11171284);河南省科技创新杰出人才支持计划(104200510011);河南省高校科技创新团队支持计划(2010IRTSTHN006);信阳师范学院青年骨干教师资助计划(2011077) |
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| 摘 要： | 本文研究了具有状态反馈脉冲控制的一类捕食者-食饵动力系统.我们首先利用微分方程几何理论和后继函数的方法得到该系统阶1周期解的存在性、唯一性和轨道渐近稳定性;然后说明了该系统不存在阶k(k=2,3,…)周期解,最后简单分析了相关结论在实践中的应用.
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| 关 键 词： | 半连续动力系统 捕食系统 周期解与稳定性 |
A Predator-prey System with Impulsive State Feedback Control |
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| HUANG Mingzhan , DUAN Guangshuang , SONG Xinyu. A Predator-prey System with Impulsive State Feedback Control[J]. Mathematica Applicata, 2012, 25(3): 661-666 |
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| Authors: | HUANG Mingzhan DUAN Guangshuang SONG Xinyu |
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| Affiliation: | (College of Mathematics and Information Science,Xinyang Nomorl University,Xinyang 464000,China) |
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| Abstract: | In this paper,we investigate a predator-prey model with impulsive state feedback control.Firstly,we find the sufficient condition for the existence,uniqueness and the orbitally asymptotically stability of the order 1 periodic solutions of the system by differential equation geometry theory and the method of successor functions.Secondly,we prove that the system does not exist order k(k≥2) periodic solution.Finally,some numerical simulations and biological explanations are given. |
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| Keywords: | Semi-continuous dynamical system Predator-prey system Periodic solution and stability |
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