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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2020
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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 |
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author | Sweilam, N. H. Al-Mekhlafi, S. M. Albalawi, A. O. Baleanu, D. |
author_facet | Sweilam, N. H. Al-Mekhlafi, S. M. Albalawi, A. O. Baleanu, D. |
author_sort | Sweilam, N. H. |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-7517066 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-75170662020-09-25 On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach Sweilam, N. H. Al-Mekhlafi, S. M. Albalawi, A. O. Baleanu, D. Adv Differ Equ Research 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. Springer International Publishing 2020-09-25 2020 /pmc/articles/PMC7517066/ /pubmed/32994791 http://dx.doi.org/10.1186/s13662-020-02982-6 Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Research Sweilam, N. H. Al-Mekhlafi, S. M. Albalawi, A. O. Baleanu, D. On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach |
title | On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach |
title_full | On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach |
title_fullStr | On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach |
title_full_unstemmed | On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach |
title_short | On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach |
title_sort | on the optimal control of coronavirus (2019-ncov) mathematical model; a numerical approach |
topic | Research |
url | 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 |
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