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Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients 被引量:1

Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients
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摘要 有特殊 Holling- 功能的回答的二猎物的一个食肉动物系统被讨论。食肉动物扑灭的那个 w 周期的答案 asymptotically 是全球的马厩被一些新方法证明。由冲动的微分方程的比较定理,而且,足够的条件为永久性和系统的周期的答案的存在被导出。 two-prey one-predator system with a special Holling-Ⅱ functional response is discussed. That w-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第2期267-273,共7页 数学季刊(英文版)
基金 Supported by the Education Department Natural Science Foundation of Henan Province (2008A180041)
关键词 脉冲微分方程 食饵系统 周期解 捕食者 变系数 持久性 时滞 全局渐近稳定 impulsive delay comparison principle variable coefficients
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