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Published on: May 22, 2021
Dynamical analysis of a discrete two-patch model with the Allee effect and nonlinear dispersal
Minjuan Gao1, Lijuan Chen1, Fengde Chen1
1School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, Fujian, China.
Abstract:
The dynamic behavior of a discrete-time two-patch model with the Allee effect and nonlinear dispersal is studied in this paper. The model consists of two patches connected by the dispersal of individuals. Each patch has its own carrying capacity and intraspecific competition, and the growth rate of one patch exhibits the Allee effect. The existence and stability of the fixed points for the model are explored. Then, utilizing the central manifold theorem and bifurcation theory, fold and flip bifurcations are investigated. Finally, numerical simulations are conducted to explore how the Allee effect and nonlinear dispersal affect the dynamics of the system.
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