Mathematical analysis and forecasting of controlled spatio-temporal dynamics of the EG.5 virus

Document Type : Research Article

Authors

• El Mehdi Moumine ¹
• Omar Balatif ²
• Mostafa Rachik ¹

¹ Laboratory of Analysis, Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of science Ben M'sik, University Hassan II, Casablanca, Morocco.

² Laboratory of Fundamental Mathematics and Their Applications , Department of Mathematics Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, Morocco.

10.22067/ijnao.2024.85581.1349

Abstract

In this article, we propose a mathematical approach that connects an innovative spatio-temporal model to the problem of the EG.5 variant of COVID-19 in a human population. We demonstrate the existence and uniqueness of the global positive solution for our suggested system.  The implementation and analysis of an applicable optimal control issue follows.
 The methods of optimal control theory were applied in this work to demonstrate the existence of optimal control, and with necessary optimality conditions, we discovered the explicit expression of optimal control that minimizes the negative impacts of this infectious disease on countries. We provide numerical simulations at the conclusion  to demonstrate the efficacy of our chosen strategy.

Keywords

• Spatiotemporal Model
• EG.5 Virus
• Optimal Control
• Mathematical Model

Main Subjects

• Optimal Control

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