蔡礼明, 叶凯莉. 一类带有阶段结构捕食系统[J]. 信阳师范学院学报(自然科学版), 2003, 16(2): 133-137.
引用本文: 蔡礼明, 叶凯莉. 一类带有阶段结构捕食系统[J]. 信阳师范学院学报(自然科学版), 2003, 16(2): 133-137.
CAI Liming, YE Kaili. A predator-prey system with stage-structure[J]. Journal of Xinyang Normal University (Natural Science Edition), 2003, 16(2): 133-137.
Citation: CAI Liming, YE Kaili. A predator-prey system with stage-structure[J]. Journal of Xinyang Normal University (Natural Science Edition), 2003, 16(2): 133-137.

一类带有阶段结构捕食系统

A predator-prey system with stage-structure

  • 摘要: 讨论一类对食饵分阶段,带有比率依赖的捕食动力学系统,论述了该系统的持久生存.通过构造李雅普诺夫函数,又分别获得了正平衡点及边界平衡点的局部和全局的渐近稳定性.

     

    Abstract: This paper studies the asympototic behavior of a radiodependent predatorprey system with stage structure.It is shown that the system is permanent under some appropriate conditions.By constructing Lyapunov functions,we give some sufficient conditions under which the possible steady states are respectively local and global

     

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