Optimal control and global stability of the SEIQRS epidemic model
Abstract
Medical treatment, vaccination, and quarantine are the most efficacious controls in preventing the spread of contagious epidemics such as COVID-19. In this paper, we demonstrate the global stability of the endemic and disease-free equilibrium by using the Lyapunov function. Moreover, we apply the three measures to minimize the density of infected people and also reduce the cost of controls. Furthermore, we use the Pontryagin Minimum Principle in order to characterize the optimal controls. Finally, we execute some numerical simulations to approve and verify our theoretical results using the fourth order Runge-Kutta approximation through Matlab.
- Published
- 13 February 2023
- Volume
- 2023 (2023)
- License
- CC BY 3.0
Copyright © 2023 Mohammed Azoua, Abderrahim Azouani, Imad Hafidi. 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
M. Azoua, A. Azouani, I. Hafidi, Optimal control and global stability of the SEIQRS epidemic model, Commun. Math. Biol. Neurosci. 2023 (2023), 17. https://doi.org/10.28919/cmbn/7880
BibTeX
@article{Azoua2023,
author = {Azoua, Mohammed and Azouani, Abderrahim and Hafidi, Imad},
title = {Optimal control and global stability of the SEIQRS epidemic model},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2023},
year = {2023},
pages = {17},
doi = {10.28919/cmbn/7880}
}