A discrete mathematical model SEIR with the evolution of the regions
Abstract
In this study, we provide a discrete mathematical SEIR model that depicts the evolution of an infectious disease while introducing the novel idea of taking regional infection spread into account. To reduce the disease’s ability to spread among people and places, we suggest three control measures. The optimal controls are defined using the Pontryagin maximum principle, and the optimality system is solved using an iterative method. Finally, MATLAB-based numerical simulations are performed to check the results of the theoretical analysis.
Full Text:
PDF
How to Cite this Article
Issam Khaloufi, Youssef Benfatah, Hajar Moutamanni, Hamza Boutayeb, Mostafa Rachik, A discrete mathematical model SEIR with the evolution of the regions, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 120. https://doi.org/10.28919/cmbn/7674
Copyright © 2022 Issam Khaloufi, Youssef Benfatah, Hajar Moutamanni, Hamza Boutayeb, 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.