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Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy

This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the necessary precautionary measures that prevent the transmission of infection, especially from uninfected virus carriers. The existence of time delay in...

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Detalles Bibliográficos
Autores principales: Hikal, M. M., Elsheikh, M. M. A., Zahra, W. K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984509/
https://www.ncbi.nlm.nih.gov/pubmed/33776609
http://dx.doi.org/10.1007/s12190-021-01515-y
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author Hikal, M. M.
Elsheikh, M. M. A.
Zahra, W. K.
author_facet Hikal, M. M.
Elsheikh, M. M. A.
Zahra, W. K.
author_sort Hikal, M. M.
collection PubMed
description This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the necessary precautionary measures that prevent the transmission of infection, especially from uninfected virus carriers. The existence of time delay in implementing the quarantine strategy and the threshold values of the time delay that keeping the stability of the system are established. Also, it is found that keeping the infected people quarantined immediately is very important in combating and controlling the spread of the disease. Also, for special cases of the system parameters, the time delay can not affect the asymptotic behavior of the disease. Finally, numerical simulations have been illustrated to validate the theoretical analysis of the proposed model.
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spelling pubmed-79845092021-03-23 Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy Hikal, M. M. Elsheikh, M. M. A. Zahra, W. K. J Appl Math Comput Original Research This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the necessary precautionary measures that prevent the transmission of infection, especially from uninfected virus carriers. The existence of time delay in implementing the quarantine strategy and the threshold values of the time delay that keeping the stability of the system are established. Also, it is found that keeping the infected people quarantined immediately is very important in combating and controlling the spread of the disease. Also, for special cases of the system parameters, the time delay can not affect the asymptotic behavior of the disease. Finally, numerical simulations have been illustrated to validate the theoretical analysis of the proposed model. Springer Berlin Heidelberg 2021-03-22 2022 /pmc/articles/PMC7984509/ /pubmed/33776609 http://dx.doi.org/10.1007/s12190-021-01515-y Text en © Korean Society for Informatics and Computational Applied Mathematics 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 Research
Hikal, M. M.
Elsheikh, M. M. A.
Zahra, W. K.
Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
title Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
title_full Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
title_fullStr Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
title_full_unstemmed Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
title_short Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
title_sort stability analysis of covid-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984509/
https://www.ncbi.nlm.nih.gov/pubmed/33776609
http://dx.doi.org/10.1007/s12190-021-01515-y
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