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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (4): 20-28.doi: 10.6040/j.issn.1671-9352.0.2023.369

• • 上一篇    

捕食者斑块间扩散的集合种群模型的稳定性分析

买阿丽1,孙国伟1,2*   

  1. 1.运城学院数学与信息技术学院, 山西 运城 044000;2.山西大学复杂系统研究所, 山西 太原 030006
  • 发布日期:2025-04-08
  • 通讯作者: 孙国伟(1980— ),男,教授,博士,研究方向为生物数学. E-mail:sunkanry@163.com
  • 作者简介:买阿丽(1981— ),女,教授,博士,研究方向为微分方程理论及其应用. E-mail:maialiy@126.com*通信作者:孙国伟(1980— ),男,教授,博士,研究方向为生物数学. E-mail:sunkanry@163.com
  • 基金资助:
    国家自然科学基金资助项目(12101547);山西省回国留学人员科研资助项目(2021-149);山西省高校科技创新项目(2020L0551);运城学院学科建设资助项目(XK2023-004)

Stability analysis of predator-prey metacommunity model with predator dispersal between patches

MAI Ali1, SUN Guowei1,2*   

  1. 1. School of Mathematics and Information Technology, Yuncheng University, Yuncheng 044000, Shanxi, China;
    2. Complex System Research Center, Shanxi University, Taiyuan 030006, Shanxi, China
  • Published:2025-04-08

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摘要： 建立具有捕食者扩散时滞和扩散损耗的捕食-食饵种群斑块模型,分析模型共存平衡点的稳定性,并证明在大多数情况下,捕食者斑块间的扩散时滞不会影响共存平衡点的稳定性。但当扩散率和扩散损耗满足一定条件时,扩散时滞导致系统出现稳定开关现象。最后通过数值模拟验证理论结果的正确性。

关键词: 集合种群, 平衡点, 扩散, 斑块, 稳定性

Abstract: A predator-prey patchy model with the dispersal delay and the population loss during the dispersal of the predator is established. The stability of the coexistence equilibrium is analyzed. Our results show that the dispersal delay of the predator does not affect the stability of the coexistence equilibrium in most cases. But it can induce stability switches under some conditions of the dispersal rate and population loss. Finally, numerical simulations are presented to demonstrate the correctness of the theoretical results.

Key words: metacommunity, equilibrium, dispersal, patch, stability

中图分类号: 

  • O175
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