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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]

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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. Qualitative 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. © 2023 the Author(s), licensee AIMS Press.

Keyword:

Hopf bifurcation

Community:

  • [ 1 ] [Zhu, Zhenliang]College of Mathematics and Data Science, Minjiang University, Fujian, Fuzhou; 350108, China
  • [ 2 ] [Chen, Yuming]Department of Mathematics, Wilfrid Laurier University, Waterloo; ON; N2L 3C5, Canada
  • [ 3 ] [Li, Zhong]College of Mathematics and Computer Science, Fuzhou University, Fujian, Fuzhou; 350108, China
  • [ 4 ] [Chen, Fengde]College of Mathematics and Computer Science, Fuzhou University, Fujian, Fuzhou; 350108, 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: 0

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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