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On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach

In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the suggested model is the main objective of this work. Two control variables are presented in thi...

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Detalles Bibliográficos
Autores principales: Sweilam, N. H., Al-Mekhlafi, S. M., Albalawi, A. O., Baleanu, D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517066/
https://www.ncbi.nlm.nih.gov/pubmed/32994791
http://dx.doi.org/10.1186/s13662-020-02982-6
Descripción
Sumario:In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the suggested model is the main objective of this work. Two control variables are presented in this model to minimize the population number of infected and asymptotically infected people. Necessary optimality conditions are derived. The Grünwald–Letnikov nonstandard weighted average finite difference method is constructed for simulating the proposed optimal control system. The stability of the proposed method is proved. In order to validate the theoretical results, numerical simulations and comparative studies are given.