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

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

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.


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Published: 2022-10-17

How to Cite this Article:

Soukaina Bouziane, El Mehdi Lotfi, Khalid Hattaf, Noura Yousfi, Dynamics of a delayed prey-predator model with Hattaf-Yousfi functional response, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 104

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.

Commun. Math. Biol. Neurosci.

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