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author:

Zhou, Q. (Zhou, Q..) [1] | Chen, F. (Chen, F..) [2]

Indexed by:

Scopus

Abstract:

This research involves a discrete amensalism system with the Beddington–DeAngelis functional response and Allee effect for the unaffected species. We begin by investigating the presence and local stability of fixed points. Then, utilizing the central manifold theorem and bifurcation theory, we analyze a variety of codimension one and codimension two bifurcations, which include transcritical, pitchfork, fold, flip, fold-flip and 1 : 2 strong resonance bifurcations. These theoretical findings suggest that Allee effect serves a crucial role in stabilizing the population sizes of both species. In addition, Allee effect would make the system spend more time to achieve its stable steady-state solution. They are illustrated via numerical simulations. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keyword:

Allee effect Amensalism model Beddington–DeAngelis functional response Bifurcation

Community:

  • [ 1 ] [Zhou, Q.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350108, China
  • [ 2 ] [Chen, F.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350108, China

Reprint 's Address:

  • [Chen, F.]School of Mathematics and Statistics, Fujian, China

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Source :

Qualitative Theory of Dynamical Systems

ISSN: 1575-5460

Year: 2023

Issue: 1

Volume: 22

1 . 9

JCR@2023

1 . 9 0 0

JCR@2023

ESI HC Threshold:13

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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