文章基本信息

标题：Modeling the Allee effect and fear effect in predator–prey system incorporating a prey refuge
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作者：Ying Huang ; Zhenliang Zhu ; Zhong Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-13
DOI：10.1186/s13662-020-02727-5
出版社：Hindawi Publishing Corporation
摘要：In this paper, we consider a predator–prey model with Allee effect, fear effect and prey refuge. By considering the prey refuge as a parameter, we give the threshold condition for the stability of the system, and prove that the system undergoes a supercritical Hopf bifurcation. We show that increasing the prey refuge or Allee effect can make the dynamical behavior of the system more complicated; the fear effect or Allee effect has no influence on the prey density, but can lead to a decrease of the predator population at positive equilibrium.
关键词：Fear effect;Allee effect;Prey refuge;Hopf bifurcation;