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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:

Understanding how the fear affects biological populations will help us develop more effective ecological conservation measures. In this paper, we consider a stage-structured competition model in which one competitor fears the other, leading to an impact on reducing the birth rate of the former. First, we prove the non-negativity and boundedness of the solutions of this system and also analyze the existence and stability of the equilibria of the system. Our study shows that the fear effect greatly enriches the dynamical behavior of the originally stage-structured system. The fear parameter k makes it possible for the system to have two positive equilibria and induces transcritical bifurcation, pitchfork bifurcation, and saddle-node bifurcation. Interestingly, we find that the stage-structured competition system is more sensitive to the fear effect. Under the same conditions, a smaller value of k in system with stage structure can lead to alterations in the system's dynamic behaviors. Finally, numerical simulations are conducted to support and illustrate the theoretical results.

Keyword:

Bifurcation Competition model Fear effect Stability Stage-structured

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 :

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS

ISSN: 1575-5460

Year: 2025

Issue: 4

Volume: 24

1 . 9 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: 4

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