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author:

Chen, Lijuan (Chen, Lijuan.) [1] | Liu, Tingting (Liu, Tingting.) [2] | Chen, Fengde (Chen, Fengde.) [3] (Scholars:陈凤德)

Indexed by:

SCIE

Abstract:

A two-patch model with additive Allee effect is proposed and studied in this paper. Our objective is to investigate how dispersal and additive Allee effect have an impact on the above model's dynamical behaviours. We discuss the local and global asymptotic stability of equilibria and the existence of the saddle-node bifurcation. Complete qualitative analysis on the model demonstrates that dispersal and Allee effect may lead to persistence or extinction in both patches. Also, combining mathematical analysis with numerical simulation, we verify that the total population abundance will increase when the Allee effect constant a increases or m decreases. And the total population density increases when the dispersal rate D-1 increases or the dispersal rate D-2 decreases.

Keyword:

additive Allee effect bifurcation dispersal extinction stability

Community:

  • [ 1 ] [Chen, Lijuan]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Liu, Tingting]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 3 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

Reprint 's Address:

  • 陈丽娟

    [Chen, Lijuan]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

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Source :

AIMS MATHEMATICS

ISSN: 2473-6988

Year: 2021

Issue: 1

Volume: 7

Page: 536-551

2 . 7 3 9

JCR@2021

1 . 8 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:36

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 13

SCOPUS Cited Count: 18

ESI Highly Cited Papers on the List: 1 Unfold All

  • 2023-1

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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