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具有HollingⅣ型功能性反应的非自治脉冲捕食系统的动力学研究
The permanence extinction and asymptotic behavior of anonautonomous Holling Ⅳ predator-prey system with impulses

DOI: 10.7631/issn.1000-2243.2016.03.0325

Keywords: Holling Ⅳ捕食系统 脉冲 非自治 持久生存 灭绝 渐近性
Holling Ⅳ predator-prey system impulse nonautonomous permanence extinction asymptotic behavior

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Abstract:

讨论一类带有脉冲的HollingⅣ类功能性反应的非自治捕食系统,利用微分方程比较定理和构造Lyapunov函数等方法,得到该类系统的持久生存、灭绝以及全局渐近稳定的条件.
The paper studies a HollingⅣ nonautonomous predator-prey system with impulses. Sufficient conditions for the permanence extinction and global asymptotical stability behavior to the system are established by the methods of differential comparison theorem and Lyapunov functions

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