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[期刊论文]

Modeling the Allee effect and fear effect in predator-prey system incorporating a prey refuge

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author:

Huang, Ying (Huang, Ying.) [1] | Zhu, Zhenliang (Zhu, Zhenliang.) [2] | Li, Zhong (Li, Zhong.) [3] (Scholars:李忠)

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Allee effect Fear effect Hopf bifurcation Prey refuge

Community:

  • [ 1 ] [Huang, Ying]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Peoples R China
  • [ 2 ] [Zhu, Zhenliang]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Peoples R China
  • [ 3 ] [Li, Zhong]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Peoples R China

Reprint 's Address:

  • 李忠

    [Li, Zhong]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Peoples R China

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Source :

ADVANCES IN DIFFERENCE EQUATIONS

ISSN: 1687-1847

Year: 2020

Issue: 1

Volume: 2020

2 . 8 0 3

JCR@2020

3 . 1 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 41

SCOPUS Cited Count: 47

30 Days PV: 0

Online/Total:8/10197657
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