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author:

Chong, Yanbo (Chong, Yanbo.) [1] | Hou, Yujie (Hou, Yujie.) [2] | Chen, Shangming (Chen, Shangming.) [3] | Chen, Fengde (Chen, Fengde.) [4]

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Abstract:

This paper presents a study on a Lotka-Volterra ammensalism model that incorporates the fear effect, which can potentially decrease the birth rate and raise the mortality rate of the species. For the autonomous case, equilibrium points’ local and global stability are discussed. For the nonautonomous case, sufficient conditions which ensure the persistence and extinction, and global asymptotic stability of the positive so-lutions are obtained, respectively. The study has shown that with the increase of the fear effect, the final density of the affected population will decrease, and when the fear effect is large enough, it will cause population’s extinction. © 2024, International Association of Engineers. All rights reserved.

Keyword:

Asymptotic stability Predator prey systems

Community:

  • [ 1 ] [Chong, Yanbo]College of Mathematics and Statistics, Fuzhou University, Fuzhou, China
  • [ 2 ] [Hou, Yujie]College of Mathematics and Statistics, Fuzhou University, Fuzhou, China
  • [ 3 ] [Chen, Shangming]College of Mathematics and Statistics, Fuzhou University, Fuzhou, China
  • [ 4 ] [Chen, Fengde]College of Mathematics and Statistics, Fuzhou University, Fuzhou, China

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Source :

Engineering Letters

ISSN: 1816-093X

Year: 2024

Issue: 6

Volume: 32

Page: 1233-1242

0 . 4 0 0

JCR@2023

CAS Journal Grade:4

Cited Count:

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SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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