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author:

Chen, F. (Chen, F..) [1] (Scholars:陈凤德) | He, X. (He, X..) [2] | Li, Z. (Li, Z..) [3] (Scholars:李忠) | Yan, T. (Yan, T..) [4]

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Abstract:

-A Lotka-Volterra commensal symbiosis model with a density dependent birth rate and a Merdan-type Allee effect on the second species has been proposed and examined. The global attractivity of system’s equilibria is ensured by using the differential inequality theory. Our results show that the Allee effect has no effect on the existence or stability of the system’s equilibrium point. However, both species take longer to approach extinction or a stable equilibrium state as the Allee effect increases. © 2023, World Scientific and Engineering Academy and Society. All rights reserved.

Keyword:

Allee effect Commensalism Global attractivity

Community:

  • [ 1 ] [Chen F.]College of Mathematics and Statistics Fuzhou University, No. 2, wulongjiang Avenue, Minhou County, Fuzhou, China
  • [ 2 ] [He X.]College of Mathematics and Statistics Fuzhou University, No. 2, wulongjiang Avenue, Minhou County, Fuzhou, China
  • [ 3 ] [Li Z.]College of Mathematics and Statistics Fuzhou University, No. 2, wulongjiang Avenue, Minhou County, Fuzhou, China
  • [ 4 ] [Yan T.]College of Mathematics and Statistics Fuzhou University, No. 2, wulongjiang Avenue, Minhou County, Fuzhou, China

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Source :

WSEAS Transactions on Biology and Biomedicine

ISSN: 1109-9518

Year: 2023

Volume: 20

Page: 101-109

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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