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author:

Xu, L. (Xu, L..) [1] | Xue, Y. (Xue, Y..) [2] | Lin, Q. (Lin, Q..) [3] | Chen, F. (Chen, F..) [4] (Scholars:陈凤德)

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Abstract:

The commensal symbiosis system with the Allee effect and single feedback control is proposed and analyzed in this paper. The stability analysis of all possible equilibrium points is discussed, and the sufficient conditions for global stability of the interior equilibrium points are obtained. The occurrence of transcritical bifurcation and saddle-node bifurcation around the equilibrium points is investigated. Finally, the main results of the model are illustrated by numerical simulations. © (2024), (International Association of Engineers). All rights reserved.

Keyword:

Allee effect commensalism model saddle-node bifurcation single feedback control transcritical bifurcation

Community:

  • [ 1 ] [Xu L.]the College of Mathematics and Physics, Ningde Normal University, Ningde, China
  • [ 2 ] [Xue Y.]the College of Mathematics and Physics, Ningde Normal University, Ningde, China
  • [ 3 ] [Lin Q.]the College of Mathematics and Physics, Ningde Normal University, Ningde, China
  • [ 4 ] [Chen F.]the College of Mathematics and Statistics, Fuzhou University, Fuzhou, China

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Source :

IAENG International Journal of Applied Mathematics

ISSN: 1992-9978

Year: 2024

Issue: 8

Volume: 54

Page: 1586-1596

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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