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Mathematical model to assess the imposition of lockdown during COVID-19 pandemic

Nigeria, like most other countries in the world, imposes lockdown as a measure to curtail the spread of COVID-19. But, it is known fact that in some countries the lockdown strategy could bring the desired results while in some the situation could worsen the spread of the virus due to poor management...

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Detalles Bibliográficos
Autores principales: Baba, Isa Abdullahi, Yusuf, Abdullahi, Nisar, Kottakkaran Sooppy, Abdel-Aty, Abdel-Haleem, Nofal, Taher A.
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/PMC7834068/
https://www.ncbi.nlm.nih.gov/pubmed/33520624
http://dx.doi.org/10.1016/j.rinp.2020.103716
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author Baba, Isa Abdullahi
Yusuf, Abdullahi
Nisar, Kottakkaran Sooppy
Abdel-Aty, Abdel-Haleem
Nofal, Taher A.
author_facet Baba, Isa Abdullahi
Yusuf, Abdullahi
Nisar, Kottakkaran Sooppy
Abdel-Aty, Abdel-Haleem
Nofal, Taher A.
author_sort Baba, Isa Abdullahi
collection PubMed
description Nigeria, like most other countries in the world, imposes lockdown as a measure to curtail the spread of COVID-19. But, it is known fact that in some countries the lockdown strategy could bring the desired results while in some the situation could worsen the spread of the virus due to poor management and lack of facilities, palliatives and incentives. To this regard, we feel motivated to develop a new mathematical model that assesses the imposition of the lockdown in Nigeria. The model comprises of a system of five ODE. Mathematical analysis of the model were carried out, where boundedness, computation of equilibria, calculation of the basic reproduction ratio and stability analysis of the equilibria were carried out. We finally study the numerical outcomes of the governing model in respect of the approximate solutions. To this aim, we employed the effective ODE45, Euler, RK-2 and RK-4 schemes and compare the results.
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spelling pubmed-78340682021-01-26 Mathematical model to assess the imposition of lockdown during COVID-19 pandemic Baba, Isa Abdullahi Yusuf, Abdullahi Nisar, Kottakkaran Sooppy Abdel-Aty, Abdel-Haleem Nofal, Taher A. Results Phys Article Nigeria, like most other countries in the world, imposes lockdown as a measure to curtail the spread of COVID-19. But, it is known fact that in some countries the lockdown strategy could bring the desired results while in some the situation could worsen the spread of the virus due to poor management and lack of facilities, palliatives and incentives. To this regard, we feel motivated to develop a new mathematical model that assesses the imposition of the lockdown in Nigeria. The model comprises of a system of five ODE. Mathematical analysis of the model were carried out, where boundedness, computation of equilibria, calculation of the basic reproduction ratio and stability analysis of the equilibria were carried out. We finally study the numerical outcomes of the governing model in respect of the approximate solutions. To this aim, we employed the effective ODE45, Euler, RK-2 and RK-4 schemes and compare the results. The Author(s). Published by Elsevier B.V. 2021-01 2020-12-25 /pmc/articles/PMC7834068/ /pubmed/33520624 http://dx.doi.org/10.1016/j.rinp.2020.103716 Text en © 2020 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
Baba, Isa Abdullahi
Yusuf, Abdullahi
Nisar, Kottakkaran Sooppy
Abdel-Aty, Abdel-Haleem
Nofal, Taher A.
Mathematical model to assess the imposition of lockdown during COVID-19 pandemic
title Mathematical model to assess the imposition of lockdown during COVID-19 pandemic
title_full Mathematical model to assess the imposition of lockdown during COVID-19 pandemic
title_fullStr Mathematical model to assess the imposition of lockdown during COVID-19 pandemic
title_full_unstemmed Mathematical model to assess the imposition of lockdown during COVID-19 pandemic
title_short Mathematical model to assess the imposition of lockdown during COVID-19 pandemic
title_sort mathematical model to assess the imposition of lockdown during covid-19 pandemic
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834068/
https://www.ncbi.nlm.nih.gov/pubmed/33520624
http://dx.doi.org/10.1016/j.rinp.2020.103716
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