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Modeling the Dynamics of COVID-19 in Nigeria
To understand the dynamics of COVID-19 in Nigeria, a mathematical model which incorporates the key compartments and parameters regarding COVID-19 in Nigeria is formulated. The basic reproduction number is obtained which is then used to analyze the stability of the disease-free equilibrium solution o...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer India
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8053898/ https://www.ncbi.nlm.nih.gov/pubmed/33898652 http://dx.doi.org/10.1007/s40819-021-01014-5 |
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author | Adewole, Matthew O. Onifade, Akindele A. Abdullah, Farah A. Kasali, Funmilayo Ismail, Ahmad I. M. |
author_facet | Adewole, Matthew O. Onifade, Akindele A. Abdullah, Farah A. Kasali, Funmilayo Ismail, Ahmad I. M. |
author_sort | Adewole, Matthew O. |
collection | PubMed |
description | To understand the dynamics of COVID-19 in Nigeria, a mathematical model which incorporates the key compartments and parameters regarding COVID-19 in Nigeria is formulated. The basic reproduction number is obtained which is then used to analyze the stability of the disease-free equilibrium solution of the model. The model is calibrated using data obtained from Nigeria Centre for Disease Control and key parameters of the model are estimated. Sensitivity analysis is carried out to investigate the influence of the parameters in curtailing the disease. Using Pontryagin’s maximum principle, time-dependent intervention strategies are optimized in order to suppress the transmission of the virus. Numerical simulations are then used to explore various optimal control solutions involving single and multiple controls. Our results suggest that strict intervention effort is required for quick suppression of the disease. |
format | Online Article Text |
id | pubmed-8053898 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer India |
record_format | MEDLINE/PubMed |
spelling | pubmed-80538982021-04-19 Modeling the Dynamics of COVID-19 in Nigeria Adewole, Matthew O. Onifade, Akindele A. Abdullah, Farah A. Kasali, Funmilayo Ismail, Ahmad I. M. Int J Appl Comput Math Original Paper To understand the dynamics of COVID-19 in Nigeria, a mathematical model which incorporates the key compartments and parameters regarding COVID-19 in Nigeria is formulated. The basic reproduction number is obtained which is then used to analyze the stability of the disease-free equilibrium solution of the model. The model is calibrated using data obtained from Nigeria Centre for Disease Control and key parameters of the model are estimated. Sensitivity analysis is carried out to investigate the influence of the parameters in curtailing the disease. Using Pontryagin’s maximum principle, time-dependent intervention strategies are optimized in order to suppress the transmission of the virus. Numerical simulations are then used to explore various optimal control solutions involving single and multiple controls. Our results suggest that strict intervention effort is required for quick suppression of the disease. Springer India 2021-04-19 2021 /pmc/articles/PMC8053898/ /pubmed/33898652 http://dx.doi.org/10.1007/s40819-021-01014-5 Text en © The Author(s), under exclusive licence to Springer Nature India Private Limited 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Original Paper Adewole, Matthew O. Onifade, Akindele A. Abdullah, Farah A. Kasali, Funmilayo Ismail, Ahmad I. M. Modeling the Dynamics of COVID-19 in Nigeria |
title | Modeling the Dynamics of COVID-19 in Nigeria |
title_full | Modeling the Dynamics of COVID-19 in Nigeria |
title_fullStr | Modeling the Dynamics of COVID-19 in Nigeria |
title_full_unstemmed | Modeling the Dynamics of COVID-19 in Nigeria |
title_short | Modeling the Dynamics of COVID-19 in Nigeria |
title_sort | modeling the dynamics of covid-19 in nigeria |
topic | Original Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8053898/ https://www.ncbi.nlm.nih.gov/pubmed/33898652 http://dx.doi.org/10.1007/s40819-021-01014-5 |
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