JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (4): 20-28.doi: 10.6040/j.issn.1671-9352.0.2023.369

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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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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

CLC Number: 

  • O175
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