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author:

Zhu, Zhenliang (Zhu, Zhenliang.) [1] | Chen, Yuming (Chen, Yuming.) [2] | Li, Zhong (Li, Zhong.) [3] | Chen, Fengde (Chen, Fengde.) [4] (Scholars:陈凤德)

Indexed by:

EI Scopus SCIE

Abstract:

We incorporate the strong Allee effect and fear effect in prey into a Leslie-Gower model. The origin is an attractor, which implies that the ecological system collapses at low densities. Qual-itative analysis reveals that both effects are crucial in determining the dynamical behaviors of the model. There can be different types of bifurcations such as saddle-node bifurcation, non-degenerate Hopf bifurcation with a simple limit cycle, degenerate Hopf bifurcation with multiple limit cycles, Bogdanov-Takens bifurcation, and homoclinic bifurcation.

Keyword:

Allee effect bifurcation fear effect Leslie -Gower model limit cycle

Community:

  • [ 1 ] [Zhu, Zhenliang]Minjiang Univ, Coll Math & Data Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Chen, Yuming]Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
  • [ 3 ] [Li, Zhong]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 4 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

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Source :

MATHEMATICAL BIOSCIENCES AND ENGINEERING

ISSN: 1547-1063

Year: 2023

Issue: 6

Volume: 20

Page: 10977-10999

2 . 6 0 0

JCR@2022

ESI HC Threshold:13

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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