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author:

He, Guangwen (He, Guangwen.) [1] | Chen, Fengde (Chen, Fengde.) [2] (Scholars:陈凤德) | Li, Zhong (Li, Zhong.) [3] (Scholars:李忠) | Chen, Lijuan (Chen, Lijuan.) [4]

Indexed by:

Scopus SCIE

Abstract:

This study proposes a Lotka-Volterra competition model incorporating a novel fear-based feedback control mechanism. Through theoretical analysis and numerical simulations, several important conclusions are obtained. The system admits at most two positive equilibria; while the feedback control parameter does not affect their existence, it plays a crucial role in determining their stability. A sufficiently large control intensity can enhance the stability of the positive equilibrium, thereby promoting species coexistence. The system exhibits rich bifurcation phenomena, including transcritical, pitchfork, saddle-node, Hopf, and Bogdanov-Takens bifurcations. Notably, a stable limit cycle may arise through a Hopf bifurcation. Under weak competition, the system admits at most one positive equilibrium, which is always stable regardless of the intensity of fear effects. In contrast, under strong competition, the system displays more complex dynamics, including the possible occurrence of multiple positive equilibria and intricate bifurcation structures. These results highlight the crucial role of fear-based feedback control in facilitating stable coexistence in competitive ecological systems.

Keyword:

Bifurcation Competition model Fear effects Feedback control Limit cycle Stability

Community:

  • [ 1 ] [He, Guangwen]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Chen, Fengde]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China
  • [ 3 ] [Li, Zhong]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China
  • [ 4 ] [Chen, Lijuan]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China

Reprint 's Address:

  • 陈凤德

    [Chen, Fengde]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China

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Source :

NONLINEAR DYNAMICS

ISSN: 0924-090X

Year: 2025

5 . 2 0 0

JCR@2023

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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