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Controlling of pandemic COVID-19 using optimal control theory

In 2019, a new infectious disease called pandemic COVID-19 began to spread from Wuhan, China. In spite of the efforts to stop the disease, being out of the control of the governments it spread rapidly all over the world. From then on, much research has been done in the world with the aim of controll...

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Autores principales: Seddighi Chaharborj, Shahriar, Seddighi Chaharborj, Sarkhosh, Hassanzadeh Asl, Jalal, Phang, Pei See
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Published by Elsevier B.V. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8168522/
https://www.ncbi.nlm.nih.gov/pubmed/34094820
http://dx.doi.org/10.1016/j.rinp.2021.104311
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author Seddighi Chaharborj, Shahriar
Seddighi Chaharborj, Sarkhosh
Hassanzadeh Asl, Jalal
Phang, Pei See
author_facet Seddighi Chaharborj, Shahriar
Seddighi Chaharborj, Sarkhosh
Hassanzadeh Asl, Jalal
Phang, Pei See
author_sort Seddighi Chaharborj, Shahriar
collection PubMed
description In 2019, a new infectious disease called pandemic COVID-19 began to spread from Wuhan, China. In spite of the efforts to stop the disease, being out of the control of the governments it spread rapidly all over the world. From then on, much research has been done in the world with the aim of controlling this contagious disease. A mathematical model for modeling the spread of COVID-19 and also controlling the spread of the disease has been presented in this paper. We find the disease-free equilibrium points as trivial equilibrium (TE), virus absenteeism equilibrium (VAE) and virus incidence equilibrium (VIE) for the proposed model; and at the trivial equilibrium point for the presented dynamic system we obtain the Jacobian matrix so as to be used in finding the largest eigenvalue. Radius spectral method has been used for finding the reproductive number. In the following, by adding a controller to the model and also using the theory of optimal control, we can improve the performance of the model. We must have a correct understanding of the system i.e. how it works, the various variables affecting the system, and the interaction of the variables on each other. To search for the optimal values, we need to use an appropriate optimization method. Given the limitations and needs of the problem, the aim of the optimization is to find the best solutions, to find conditions that result in the maximum of susceptiblity, the minimum of infection, and optimal quarantination.
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spelling pubmed-81685222021-06-02 Controlling of pandemic COVID-19 using optimal control theory Seddighi Chaharborj, Shahriar Seddighi Chaharborj, Sarkhosh Hassanzadeh Asl, Jalal Phang, Pei See Results Phys Article In 2019, a new infectious disease called pandemic COVID-19 began to spread from Wuhan, China. In spite of the efforts to stop the disease, being out of the control of the governments it spread rapidly all over the world. From then on, much research has been done in the world with the aim of controlling this contagious disease. A mathematical model for modeling the spread of COVID-19 and also controlling the spread of the disease has been presented in this paper. We find the disease-free equilibrium points as trivial equilibrium (TE), virus absenteeism equilibrium (VAE) and virus incidence equilibrium (VIE) for the proposed model; and at the trivial equilibrium point for the presented dynamic system we obtain the Jacobian matrix so as to be used in finding the largest eigenvalue. Radius spectral method has been used for finding the reproductive number. In the following, by adding a controller to the model and also using the theory of optimal control, we can improve the performance of the model. We must have a correct understanding of the system i.e. how it works, the various variables affecting the system, and the interaction of the variables on each other. To search for the optimal values, we need to use an appropriate optimization method. Given the limitations and needs of the problem, the aim of the optimization is to find the best solutions, to find conditions that result in the maximum of susceptiblity, the minimum of infection, and optimal quarantination. Published by Elsevier B.V. 2021-07 2021-05-19 /pmc/articles/PMC8168522/ /pubmed/34094820 http://dx.doi.org/10.1016/j.rinp.2021.104311 Text en © 2021 Published by Elsevier B.V. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Seddighi Chaharborj, Shahriar
Seddighi Chaharborj, Sarkhosh
Hassanzadeh Asl, Jalal
Phang, Pei See
Controlling of pandemic COVID-19 using optimal control theory
title Controlling of pandemic COVID-19 using optimal control theory
title_full Controlling of pandemic COVID-19 using optimal control theory
title_fullStr Controlling of pandemic COVID-19 using optimal control theory
title_full_unstemmed Controlling of pandemic COVID-19 using optimal control theory
title_short Controlling of pandemic COVID-19 using optimal control theory
title_sort controlling of pandemic covid-19 using optimal control theory
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8168522/
https://www.ncbi.nlm.nih.gov/pubmed/34094820
http://dx.doi.org/10.1016/j.rinp.2021.104311
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