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author:

Zhong, J. (Zhong, J..) [1] | Chen, L. (Chen, L..) [2] | Chen, F. (Chen, F..) [3]

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Abstract:

In this paper, a two-patch model with additive Allee effect, nonlinear dispersal and commensalism is proposed and studied. The stability of equilibria and the existence of saddle-node bifurcation, transcritical bifurcation are discussed. Through qualitative analysis of the model, we know that the persistence and the extinction of population are influenced by the Allee effect, dispersal and commensalism. Combining with numerical simulation, the study shows that the total population density will increase when the Allee effect constant a increases or m decreases. In addition to suppress the Allee effect, nonlinear dispersal and commensalism are crucial to the survival of the species in the two patches. © World Scientific Publishing Company.

Keyword:

additive Allee effect bifurcation Commensalism nonlinear dispersal stability

Community:

  • [ 1 ] [Zhong J.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian, 350108, China
  • [ 2 ] [Chen L.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian, 350108, China
  • [ 3 ] [Chen F.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian, 350108, China

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Source :

International Journal of Biomathematics

ISSN: 1793-5245

Year: 2024

2 . 4 0 0

JCR@2023

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 0

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