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author:

Xia, Yue (Xia, Yue.) [1] | Chen, Lijuan (Chen, Lijuan.) [2] | Srivastava, Vaibhava (Srivastava, Vaibhava.) [3] | Parshad, Rana D. (Parshad, Rana D..) [4]

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EI

Abstract:

In the current manuscript, a two-patch model with the Allee effect and nonlinear dispersal is presented. We study both the ordinary differential equation (ODE) case and the partial differential equation (PDE) case here. In the ODE model, the stability of the equilibrium points and the existence of saddle-node bifurcation are discussed. The phase diagram and bifurcation curve of our model are also given as a results of numerical simulation. Besides, the corresponding linear dispersal case is also presented. We show that, when the Allee effect is large, high intensity of linear dispersal is not favorable to the persistence of the species. We further show when the Allee effect is large, nonlinear diffusion is more beneficial to the survival of the population than linear diffusion. Moreover, the results of the PDE model extend our findings from discrete patches to continuous patches. © 2023 American Institute of Mathematical Sciences. All rights reserved.

Keyword:

Bifurcation (mathematics) Diffusion Ordinary differential equations

Community:

  • [ 1 ] [Xia, Yue]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou; 350108, China
  • [ 2 ] [Chen, Lijuan]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou; 350108, China
  • [ 3 ] [Srivastava, Vaibhava]Department of Mathematics, Iowa State University, Ames; IA; 50011, United States
  • [ 4 ] [Parshad, Rana D.]Department of Mathematics, Iowa State University, Ames; IA; 50011, United States

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Source :

Mathematical Biosciences and Engineering

ISSN: 1547-1063

Year: 2023

Issue: 11

Volume: 20

Page: 19781-19807

2 . 6 0 0

JCR@2022

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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