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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.
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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
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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