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Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh

In this study based on Bangladesh, a modified SIR model is produced and analysed for COVID-19. We have theoretically investigated the model along with numerical simulations. The reproduction number [Formula: see text] has been calculated by using the method of the next-generation matrix. Due to the...

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Autores principales: Shahrear, Pabel, Rahman, S. M. Saydur, Nahid, Md Mahadi Hasan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier B.V. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7881714/
http://dx.doi.org/10.1016/j.rinam.2021.100145
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author Shahrear, Pabel
Rahman, S. M. Saydur
Nahid, Md Mahadi Hasan
author_facet Shahrear, Pabel
Rahman, S. M. Saydur
Nahid, Md Mahadi Hasan
author_sort Shahrear, Pabel
collection PubMed
description In this study based on Bangladesh, a modified SIR model is produced and analysed for COVID-19. We have theoretically investigated the model along with numerical simulations. The reproduction number [Formula: see text] has been calculated by using the method of the next-generation matrix. Due to the basic reproduction number, we have analysed the local stability of the model for disease-free and endemic equilibria. We have investigated the sensitivity of the reproduction number to parameters and calculate the sensitivity indices to determine the dominance of the parameters. Furthermore, we simulate the system in MATLAB by using the fourth-order Runge–Kutta (RK4) method and validate the results using fourth order polynomial regression (John Hopkins Hospital (JHH), 2020). Finally, the numerical simulation depicts the clear picture of the upward, and the downward trend of the spread of this disease along with time in a particular place, and the parameters in the mathematical model indicate this change of intensity. This result represents, the effect of COVID-19 from Bangladesh’s perspective.
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spelling pubmed-78817142021-02-16 Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh Shahrear, Pabel Rahman, S. M. Saydur Nahid, Md Mahadi Hasan Results in Applied Mathematics Article In this study based on Bangladesh, a modified SIR model is produced and analysed for COVID-19. We have theoretically investigated the model along with numerical simulations. The reproduction number [Formula: see text] has been calculated by using the method of the next-generation matrix. Due to the basic reproduction number, we have analysed the local stability of the model for disease-free and endemic equilibria. We have investigated the sensitivity of the reproduction number to parameters and calculate the sensitivity indices to determine the dominance of the parameters. Furthermore, we simulate the system in MATLAB by using the fourth-order Runge–Kutta (RK4) method and validate the results using fourth order polynomial regression (John Hopkins Hospital (JHH), 2020). Finally, the numerical simulation depicts the clear picture of the upward, and the downward trend of the spread of this disease along with time in a particular place, and the parameters in the mathematical model indicate this change of intensity. This result represents, the effect of COVID-19 from Bangladesh’s perspective. The Author(s). Published by Elsevier B.V. 2021-05 2021-02-13 /pmc/articles/PMC7881714/ http://dx.doi.org/10.1016/j.rinam.2021.100145 Text en © 2021 The Author(s) 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
Shahrear, Pabel
Rahman, S. M. Saydur
Nahid, Md Mahadi Hasan
Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh
title Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh
title_full Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh
title_fullStr Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh
title_full_unstemmed Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh
title_short Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh
title_sort prediction and mathematical analysis of the outbreak of coronavirus (covid-19) in bangladesh
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7881714/
http://dx.doi.org/10.1016/j.rinam.2021.100145
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