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福州大学学报(自然科学版) 2016
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
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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