Global behaviour of a time fractional order spatiotemporal epidemic model with Beddington-Deangelis incidence rate and vaccination strategy
Abstract
In this paper, we describe the transmission dynamics of a fractional order of an SVEIR epidemic model with reaction–diffusion and Beddington-DeAngelis incidence rate. The basic reproduction number R0 is obtained according to the next generation matrix. The local stability of the disease free equilibrium is discussed. Further, utilizing the Lyapunov function method, it has been demonstrated that the global stability of each equilibrium: free equilibrium and endemic equilibrium, is mainly based on the fundamental reproduction number R0. Finally, numerical simulations were executed to justify the theoretical findings.
- Published
- 14 October 2024
- Volume
- 2024 (2024)
- License
- CC BY 3.0
Copyright © 2024 Fatima Cherkaoui, Khalid Hilal, Abdelaziz Qaffou. 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
F. Cherkaoui, K. Hilal, A. Qaffou, Global behaviour of a time fractional order spatiotemporal epidemic model with Beddington-Deangelis incidence rate and vaccination strategy, Commun. Math. Biol. Neurosci. 2024 (2024), 111. https://doi.org/10.28919/cmbn/8593
BibTeX
@article{Cherkaoui2024,
author = {Cherkaoui, Fatima and Hilal, Khalid and Qaffou, Abdelaziz},
title = {Global behaviour of a time fractional order spatiotemporal epidemic model with Beddington-Deangelis incidence rate and vaccination strategy},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2024},
year = {2024},
pages = {111},
doi = {10.28919/cmbn/8593}
}