A Discrete Predator-prey Model with Allee and Refuge Effect

Authors

  • Sinan Kapcak College of Engineering and Technology, American University of the Middle East

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i1.4661

Keywords:

center manifold, Allee Effect, Refuge Effect

Abstract

We consider a predator-prey model, where some prey are completely free from predation within a temporal or spacial refuge and the predator population is subject to Allee effect. We study the effect of the presence of refuge and Allee effect on the stability and bifurcation of the system. We investigate the existence and stability of the model as well as the stability region. We also obtain the invariant manifolds of the system.

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Published

2023-01-29

How to Cite

Kapcak, S. (2023). A Discrete Predator-prey Model with Allee and Refuge Effect. European Journal of Pure and Applied Mathematics, 16(1), 71–83. https://doi.org/10.29020/nybg.ejpam.v16i1.4661

Issue

Vol. 16 No. 1: (January 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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