Mathematical modeling of the spread of the COVID'19 with optimal control strategies

Riouali Maryam; Lahmidi Fouad; Elbarrai Imane; Namir Abdelwahe

doi:10.1016/j.procs.2022.07.066

Mathematical modeling of the spread of the COVID'19 with optimal control strategies

Procedia Comput Sci. 2022:203:481-485. doi: 10.1016/j.procs.2022.07.066. Epub 2022 Aug 12.

Authors

Riouali Maryam^{1

2}, Lahmidi Fouad^{1

2}, Elbarrai Imane^{1

2}, Namir Abdelwahe^{1

2}

Affiliations

¹ Laboratory of Analysis, Modeling and Simulation, Hassan II University, Faculty of Sciences Ben M'sik, B.P 7955, Casablanca, Morocco.
² Laboratory of Information, Technology and Modeling, Hassan II University, Faculty of Sciences Ben M'sik, B.P 7955, Casablanca, Morocco.

Abstract

In this work, we formulated an SEQIRS mathematical model with four control variables, which describes the spread of the coro-navirus in a community. An optimal control problem was well introduced in order to verify the existence of optimal controls that minimize susceptible, exposed, and infected individuals. Also, we use Pontryagin's Maximum Principle to characterize the optimal control strategies to minimize the spread dynamics of the COVID'19.

Keywords: COVID’19; Mathematical model; Optimal control.