周盛华, 刘署云. 时滞非自治的捕食者一食饵系统的持续性和全局稳定性[J]. 北京工业大学学报, 2007, 33(8): 874-877,896.
    引用本文: 周盛华, 刘署云. 时滞非自治的捕食者一食饵系统的持续性和全局稳定性[J]. 北京工业大学学报, 2007, 33(8): 874-877,896.
    ZHOU Sheng-hua, LIU Shu-yun. Persistence and Global Stability for Delay Nonautonomous Predator-prey System[J]. Journal of Beijing University of Technology, 2007, 33(8): 874-877,896.
    Citation: ZHOU Sheng-hua, LIU Shu-yun. Persistence and Global Stability for Delay Nonautonomous Predator-prey System[J]. Journal of Beijing University of Technology, 2007, 33(8): 874-877,896.

    时滞非自治的捕食者一食饵系统的持续性和全局稳定性

    Persistence and Global Stability for Delay Nonautonomous Predator-prey System

    • 摘要: 为了研究一类没有即时负反馈控制的3种群捕食者-食饵系统的持续性和全局稳定性;在给定的条件下,利用不等式知识,证明了系统的一致持续性.并通过构造lyapunov函数,导出了该系统全局稳定性的充分条件.在Lotka-Volterra模型中,考虑了3个种群——y1,y2,y3;在这里y2,y3是捕食者;y1,y2是食饵;其中y2在捕食y1的同时又被y3捕食;y3既捕食y1,又捕食y2.

       

      Abstract: In order to study the uniform persistence and global stability of a delayed nonautonomous three specie predator-prey Lotka-Volterra system without dominating instantaneous negative feedback.In an appro- priate condition,using the knowledge of not-equation,we proved the system is uniformly persistent by con- structing a suitable Lyapunov function.Sufficient condition are derived form the global stability of the system. The author considered three species——y1,y2,y3 in the system which has two predator y2,y3 and two preys y1,y2;y2 not only is the predator to y1 but also is the prey to y3,y1 is the prey to y3 too.

       

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