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Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches

机译:具有两个斑块之间脉冲扩散的时滞捕食模型的动力学分析

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摘要

In this work, we propose a delayed predator-prey model with impulsively diffusive prey between two patches. Using the stro-boscopic map of the discrete dynamical system, we obtain the globally attractive condition of predator-extinction periodic solution of the system. We also obtain the permanent condition of the system by the theory of impulsive delay differential equation. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the system. Finally, the numerical analysis is inserted to illustrate the results.
机译:在这项工作中,我们提出了一个时滞的捕食者—食饵模型,其中两个斑块之间具有脉冲扩散性猎物。利用离散动力系统的频闪观测图,我们获得了系统的捕食-灭绝周期解的全局吸引条件。我们还通过脉冲延迟微分方程理论获得了系统的永久条件。我们的结果表明,离散时间延迟对系统的动力学行为有影响。最后,插入数值分析以说明结果。

著录项

  • 来源
    《Mathematics and computers in simulation》 |2009年第3期|522-532|共11页
  • 作者单位

    School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, PR China Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang 550004, PR Chinu;

    School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, PR China;

    Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang 550004, PR Chinu;

    Institute of Mathematics, Academia Sinica, Beijing 100080, PR China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    predator-prey model; impulsive diffusion; extinction; permanent;

    机译:捕食者-猎物模型;脉冲扩散灭绝常驻;

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