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Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective

In this article, a mathematical model for the transmission of COVID-19 disease is formulated and analysed. It is shown that the model exhibits a backward bifurcation at [Formula: see text] when recovered individuals do not develop a permanent immunity for the disease. In the absence of reinfection,...

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Autores principales: Kassa, Semu M., Njagarah, John B.H., Terefe, Yibeltal A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274644/
https://www.ncbi.nlm.nih.gov/pubmed/32536760
http://dx.doi.org/10.1016/j.chaos.2020.109968
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author Kassa, Semu M.
Njagarah, John B.H.
Terefe, Yibeltal A.
author_facet Kassa, Semu M.
Njagarah, John B.H.
Terefe, Yibeltal A.
author_sort Kassa, Semu M.
collection PubMed
description In this article, a mathematical model for the transmission of COVID-19 disease is formulated and analysed. It is shown that the model exhibits a backward bifurcation at [Formula: see text] when recovered individuals do not develop a permanent immunity for the disease. In the absence of reinfection, it is proved that the model is without backward bifurcation and the disease free equilibrium is globally asymptotically stable for [Formula: see text]. By using available data, the model is validated and parameter values are estimated. The sensitivity of the value of [Formula: see text] to changes in any of the parameter values involved in its formula is analysed. Moreover, various mitigation strategies are investigated using the proposed model and it is observed that the asymptomatic infectious group of individuals may play the major role in the re-emergence of the disease in the future. Therefore, it is recommended that in the absence of vaccination, countries need to develop capacities to detect and isolate at least 30% of the asymptomatic infectious group of individuals while treating in isolation at least 50% of symptomatic patients to control the disease.
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spelling pubmed-72746442020-06-08 Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective Kassa, Semu M. Njagarah, John B.H. Terefe, Yibeltal A. Chaos Solitons Fractals Article In this article, a mathematical model for the transmission of COVID-19 disease is formulated and analysed. It is shown that the model exhibits a backward bifurcation at [Formula: see text] when recovered individuals do not develop a permanent immunity for the disease. In the absence of reinfection, it is proved that the model is without backward bifurcation and the disease free equilibrium is globally asymptotically stable for [Formula: see text]. By using available data, the model is validated and parameter values are estimated. The sensitivity of the value of [Formula: see text] to changes in any of the parameter values involved in its formula is analysed. Moreover, various mitigation strategies are investigated using the proposed model and it is observed that the asymptomatic infectious group of individuals may play the major role in the re-emergence of the disease in the future. Therefore, it is recommended that in the absence of vaccination, countries need to develop capacities to detect and isolate at least 30% of the asymptomatic infectious group of individuals while treating in isolation at least 50% of symptomatic patients to control the disease. Elsevier Ltd. 2020-09 2020-06-05 /pmc/articles/PMC7274644/ /pubmed/32536760 http://dx.doi.org/10.1016/j.chaos.2020.109968 Text en © 2020 Elsevier Ltd. All rights reserved. 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
Kassa, Semu M.
Njagarah, John B.H.
Terefe, Yibeltal A.
Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective
title Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective
title_full Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective
title_fullStr Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective
title_full_unstemmed Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective
title_short Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective
title_sort analysis of the mitigation strategies for covid-19: from mathematical modelling perspective
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274644/
https://www.ncbi.nlm.nih.gov/pubmed/32536760
http://dx.doi.org/10.1016/j.chaos.2020.109968
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