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author:

Zhu, Qun (Zhu, Qun.) [1] | Chen, Fengde (Chen, Fengde.) [2] | Li, Zhong (Li, Zhong.) [3] | Chen, Lijuan (Chen, Lijuan.) [4]

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Abstract:

This paper investigates a two-species amensalism model that includes the fear effect on the first species and the Beddington-DeAngelis functional response. The existence and stability of possible equilibria are investigated. Under different parameters, there exist two stable equilibria which means that this model is not always globally asymptotically stable. Together with the existence of all possible equilibria and their stability, saddle connection and close orbits, we derive some conditions for transcritical bifurcation and saddle-node bifurcation. Furthermore, global dynamics analysis of the model is performed. It is observed that under certain parameter conditions, when the intensity of the fear effect is below a certain threshold value, as the fear effect increases it will only reduce the density of the first species population and will have no influence the extinction or existence of the first species population. However, when the fear effect exceeds this threshold, the increase of the fear effect will accelerate the extinction of the first species population. Finally, numerical simulations are performed to validate theoretical results. © World Scientific Publishing Company.

Keyword:

Bifurcation (mathematics) Dynamics

Community:

  • [ 1 ] [Zhu, Qun]School of Mathematics and Statistics, Fuzhou University, No. 2 Xueyuan Road, Fujian, Fuzhou; 350108, China
  • [ 2 ] [Chen, Fengde]School of Mathematics and Statistics, Fuzhou University, No. 2 Xueyuan Road, Fujian, Fuzhou; 350108, China
  • [ 3 ] [Li, Zhong]School of Mathematics and Statistics, Fuzhou University, No. 2 Xueyuan Road, Fujian, Fuzhou; 350108, China
  • [ 4 ] [Chen, Lijuan]School of Mathematics and Statistics, Fuzhou University, No. 2 Xueyuan Road, Fujian, Fuzhou; 350108, China

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Source :

International Journal of Bifurcation and Chaos

ISSN: 0218-1274

Year: 2024

Issue: 6

Volume: 34

1 . 9 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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