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  • 标题:Hopf Bifurcation Analysis of a Delayed Diffusive Predator-Prey Model with Predator Interference or Foraging Facilitation
  • 本地全文:下载
  • 作者:Wenlong Wang ; Zijun Liu ; Ruizhi Yang
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2022
  • 卷号:2022
  • DOI:10.1155/2022/5278036
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A delayed diffusive predator-prey model with predator interference or foraging facilitation is studied. We are interested in the existence of Turing instability, local stability, and Hopf bifurcation. We analyze the direction and stability of bifurcating periodic solutions by the normal form method. Our results suggest that diffusion can induce Turing instability and time delay can induce oscillation of prey and predator’s densities. In addition, the interference parameter λ0 has stabilizing and destabilizing effect on the positive equilibrium.
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