Mathematical modeling and analysis of the dynamics of an ecological system with prey refuge and two time delays
Abstract
This paper proposes a prey-predator model with the Hattaf-Yousfi functional response, incorporating a prey refuge and two time delays. Prey refuge is crucial for stabilizing dynamics and preventing the extinction of prey species, as it provides a way for prey to avoid predation. In addition, the paper presents the mathematical analysis of the proposed model and discusses the stability results. Finally, some numerical simulations are given to illustrate the theoretical analysis.
Copyright © 2025 Soukaina Bouziane, Khalid Hattaf, Jamal Mouline. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Bouziane, K. Hattaf, J. Mouline, Mathematical modeling and analysis of the dynamics of an ecological system with prey refuge and two time delays, J. Math. Comput. Sci. 15 (2025), 8. https://doi.org/10.28919/jmcs/9357
BibTeX
@article{Bouziane2025,
author = {Bouziane, Soukaina and Hattaf, Khalid and Mouline, Jamal},
title = {Mathematical modeling and analysis of the dynamics of an ecological system with prey refuge and two time delays},
journal = {J. Math. Comput. Sci.},
volume = {15},
year = {2025},
pages = {8},
doi = {10.28919/jmcs/9357}
}