Allee effect in a Ricker type predator-prey model

Volume 29, Issue 3, pp 239--251 https://doi.org/10.22436/jmcs.029.03.03
Publication Date: October 21, 2022 Submission Date: June 01, 2022 Revision Date: July 04, 2022 Accteptance Date: July 24, 2022

Authors

M. Y. Hamada - Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. T. El-Azab - Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. H. El-Metwally - Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.


Abstract

The stability of the predator-prey model subject to the Allee effect is an interesting topic in recent times. The impact of a weak Allee effect on the stability of a discrete-time predator-prey model is investigated in this paper. Equilibrium analysis, stability analysis, and bifurcation theory are used to examine the mathematical properties of the proposed model. By using the Allee parameter as the bifurcation parameter, we provide sufficient conditions for the flip bifurcation. Numerical simulations are used to demonstrate our analytical conclusions.


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ISRP Style

M. Y. Hamada, T. El-Azab, H. El-Metwally, Allee effect in a Ricker type predator-prey model, Journal of Mathematics and Computer Science, 29 (2023), no. 3, 239--251

AMA Style

Hamada M. Y., El-Azab T., El-Metwally H., Allee effect in a Ricker type predator-prey model. J Math Comput SCI-JM. (2023); 29(3):239--251

Chicago/Turabian Style

Hamada, M. Y., El-Azab, T., El-Metwally, H.. "Allee effect in a Ricker type predator-prey model." Journal of Mathematics and Computer Science, 29, no. 3 (2023): 239--251


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