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  • 标题:Hopf bifurcation analysis in a stage-structure predator–prey model with two time delay
  • 本地全文:下载
  • 作者:Bochen Han ; Shengming Yang ; Guangping Zeng
  • 期刊名称:MATEC Web of Conferences
  • 电子版ISSN:2261-236X
  • 出版年度:2022
  • 卷号:355
  • 页码:1-10
  • DOI:10.1051/matecconf/202235503048
  • 语种:English
  • 出版社:EDP Sciences
  • 摘要:In this paper, we consider a predator-prey system with two time delays, which describes a prey–predator model with parental care for predators. The local stability of the positive equilibrium is analysed. By choosing the two time delays as the bifurcation parameter, the existence of Hopf bifurcation is studied. Numerical simulations show the positive equilibrium loses its stability via the Hopf bifurcation when the time delay increases beyond a threshold.
  • 关键词:Predator-prey model;Delay;Hopf bifurcation;Local stability
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