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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Author(s). Published by Elsevier B.V.
2021
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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. |
format | Online Article Text |
id | pubmed-7881714 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | The Author(s). Published by Elsevier B.V. |
record_format | MEDLINE/PubMed |
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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