Mathematical analysis and forecasting of controlled Spatio-temporal dynamics of the EG.5 Virus

Iranian Journal of Numerical Analysis and Optimization

مقاله 8، دوره 14، Issue 2 - شماره پیاپی 29، شهریور 2024، صفحه 500-521   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2024.85581.1349

نویسندگان

E.M. Moumine^{* 1}؛ O. Balatif²؛ M. Rachik¹

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

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

چکیده

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 are as follows. The methods of optimal control theory are applied in this work to demonstrate the existence of optimal control, and with necessary op-timality conditions, we discover 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.

کلیدواژه‌ها

Spatio-temporal Model؛ EG.5 Virus؛ Optimal Control؛ Mathe-matical Model

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