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王霞, 宋强. 一类带有时滞和阶段结构的竞争系统的动力学分析(英文)[J]. 信阳师范学院学报(自然科学版), 2007, 20(2): 133-137.
引用本文: 王霞, 宋强. 一类带有时滞和阶段结构的竞争系统的动力学分析(英文)[J]. 信阳师范学院学报(自然科学版), 2007, 20(2): 133-137.
shu
WANG Xia, SONG Qiang. Dynamic Analysis for a Stage-structured Competitive System with Delay[J]. Journal of Xinyang Normal University (Natural Science Edition), 2007, 20(2): 133-137.
Citation: WANG Xia, SONG Qiang. Dynamic Analysis for a Stage-structured Competitive System with Delay[J]. Journal of Xinyang Normal University (Natural Science Edition), 2007, 20(2): 133-137.
shu

一类带有时滞和阶段结构的竞争系统的动力学分析(英文)

Dynamic Analysis for a Stage-structured Competitive System with Delay

    摘要
  • 摘要: 研究一类具有时滞的两种群的竞争系统且其中一种群带有阶段结构的数学模型.得到了该系统的持续性及正平衡点的局部、全局稳定的条件,并且讨论了阶段结构和时滞对该系统的影响.结果表明,在特定的条件下时滞能导致稳定的平衡点转变为不稳定的平衡点.

     

    Abstract: A mathematical model of two species competitive system with delay and stage structure is studied.The conditions for the permanence of the system,the local and global stability of the positive equilibrium are obtained,respectively.The effects on the system of the stage structure and delay is considered.It is shown that delay can cause a stable equilibrium to become unstable under some conditions.

     

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