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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 77

Stability analysis of an order fractional of a new corona virus disease (COVID-19) model

Abderrahim Labzai, Mohamed Baroudi, Mohamed Belam, Mostafa Rachik

PDF (854.9 KB) https://doi.org/10.28919/cmbn/8064

Abstract

In this paper, we propose a fractional order SEIHR pandemic model of Covid-19 that describes the spreadability of Corona virus within a population. We prove the global existence, positivity, and boundedness of solutions. In addition, the local and the global stability of the disease-free equilibrium and the disease equilibrium are studied by using Routh-Hurwitz criteria and construction an appropriate Lyapunov functions. Finally, numerical simulations are performed to verify the theoretical results.

Published
4 August 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Abderrahim Labzai, Mohamed Baroudi, Mohamed Belam, Mostafa Rachik. 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

A. Labzai, M. Baroudi, M. Belam, M. Rachik, Stability analysis of an order fractional of a new corona virus disease (COVID-19) model, Commun. Math. Biol. Neurosci. 2023 (2023), 77. https://doi.org/10.28919/cmbn/8064

BibTeX
@article{Labzai2023,
  author  = {Labzai, Abderrahim and Baroudi, Mohamed and Belam, Mohamed and Rachik, Mostafa},
  title   = {Stability analysis of an order fractional of a new corona virus disease (COVID-19) model},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {77},
  doi     = {10.28919/cmbn/8064}
}