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author:

Guan, Xinyu (Guan, Xinyu.) [1] | Chen, Fengde (Chen, Fengde.) [2] (Scholars:陈凤德)

Indexed by:

EI Scopus SCIE

Abstract:

A two species amensalism model with Beddington DeAngelis functional response is proposed and studied in this paper. The existence and stability of possible equilibria are investigated. Under some additional assumptions, there are two stable equilibria which implies this system is not asymptotically stable. Based on the stability analysis of equilibria, closed orbits and the saddle connection, we give some comprehensive bifurcation and global dynamics of the system. Next, we further incorporate the Allee effect into the second species and provide a complete qualitative and bifurcation analysis of the system with Allee effect. Numerical simulations show that the system with an Allee effect must take a longer time to reach its stable steady-state solution than that without Allee effect. There is a good agreement between the present results and the numeric simulations. (C) 2019 Elsevier Ltd. All rights reserved.

Keyword:

Allee effect Amensalism model Beddington-DeAngelis functional response Bifurcation Global dynamics

Community:

  • [ 1 ] [Guan, Xinyu]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 2 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

Reprint 's Address:

  • 陈凤德

    [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

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Source :

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

ISSN: 1468-1218

Year: 2019

Volume: 48

Page: 71-93

2 . 0 7 2

JCR@2019

1 . 8 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:59

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 48

SCOPUS Cited Count: 57

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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