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.
Share and Cite
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
Keywords
- Allee effect
- predator-prey system
- chaos
MSC
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