Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 104

Dynamics of a delayed prey-predator model with Hattaf-Yousfi functional response

Soukaina Bouziane, El Mehdi Lotfi, Khalid Hattaf, Noura Yousfi

PDF (757.3 KB) https://doi.org/10.28919/cmbn/7652

Abstract

In this paper, we propose a delayed prey-predator model with Hattaf-Yousfi functional response. We first show that our proposed model is mathematically and ecologically well-posed. The dynamical behaviors of the model are studied by establishing the local stability of equilibria and the existence of Hopf bifurcation. Furthermore, the theoretical results are validated by numerical simulations.

Published
17 October 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Soukaina Bouziane, El Mehdi Lotfi, Khalid Hattaf, Noura Yousfi. 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, E. M. Lotfi, K. Hattaf, N. Yousfi, Dynamics of a delayed prey-predator model with Hattaf-Yousfi functional response, Commun. Math. Biol. Neurosci. 2022 (2022), 104. https://doi.org/10.28919/cmbn/7652

BibTeX
@article{Bouziane2022,
  author  = {Bouziane, Soukaina and Lotfi, El Mehdi and Hattaf, Khalid and Yousfi, Noura},
  title   = {Dynamics of a delayed prey-predator model with Hattaf-Yousfi functional response},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {104},
  doi     = {10.28919/cmbn/7652}
}