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author:

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

Indexed by:

SCIE

Abstract:

This paper investigates a model of amensalism, in which the first species is influenced by the combined effects of refuge and fear, while the second species exhibits an additive Allee effect. The paper analyzes the existence and stability of the equilibria of the system and derives the conditions for various bifurcations. In the global structure analysis, the stability at infinity is examined, and the phenomena of global stability and bistability in the system are analyzed. Additionally, a sensitivity analysis is employed to evaluate the impact of system parameters on populations. The study reveals that refuge has a significant positive effect on the first population, and refuge's effect becomes more pronounced as the fear level increases. Under the strong Allee effect, when the initial density of the second species is low, the second species may eventually become extinct; when the initial density is high, if the refuge parameter is below a certain threshold, increasing the refuge parameter slows down the extinction of the first species, whereas, when the refuge parameter exceeds this threshold, the two species can coexist. Under the weak Allee effect, when the refuge parameter surpasses a certain threshold, the two species can achieve long-term, stable coexistence, and the threshold for the weak Allee effect is higher than that for the strong Allee effect.

Keyword:

additive Allee effect amensalism model bifurcation fear effect global dynamics refuge

Community:

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

Reprint 's Address:

  • 陈凤德

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

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Source :

AXIOMS

Year: 2025

Issue: 8

Volume: 14

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: 2

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