Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay

This paper deals with mathematical modelling and analysis of a SEIQR model to study the dynamics of COVID-19 considering delay in conversion of exposed population to the infected population. The model is analysed for local and global stability using Lyapunov method of stability followed by Hopf bifu...

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Detalles Bibliográficos
Autores principales: Bhadauria, Archana Singh, Devi, Sapna, Gupta, Nivedita
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8478011/
https://www.ncbi.nlm.nih.gov/pubmed/34604503
http://dx.doi.org/10.1007/s40808-021-01279-1
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author Bhadauria, Archana Singh
Devi, Sapna
Gupta, Nivedita
author_facet Bhadauria, Archana Singh
Devi, Sapna
Gupta, Nivedita
author_sort Bhadauria, Archana Singh
collection PubMed
description This paper deals with mathematical modelling and analysis of a SEIQR model to study the dynamics of COVID-19 considering delay in conversion of exposed population to the infected population. The model is analysed for local and global stability using Lyapunov method of stability followed by Hopf bifurcation analysis. Basic reproduction number is determined, and it is observed that local and global stability conditions are dependent on the number of secondary infections due to exposed as well as infected population. Our study reveals that asymptomatic cases due to exposed population play a vital role in increasing the COVID-19 infection among the population.
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spelling pubmed-84780112021-09-28 Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay Bhadauria, Archana Singh Devi, Sapna Gupta, Nivedita Model Earth Syst Environ Original Article This paper deals with mathematical modelling and analysis of a SEIQR model to study the dynamics of COVID-19 considering delay in conversion of exposed population to the infected population. The model is analysed for local and global stability using Lyapunov method of stability followed by Hopf bifurcation analysis. Basic reproduction number is determined, and it is observed that local and global stability conditions are dependent on the number of secondary infections due to exposed as well as infected population. Our study reveals that asymptomatic cases due to exposed population play a vital role in increasing the COVID-19 infection among the population. Springer International Publishing 2021-09-28 2022 /pmc/articles/PMC8478011/ /pubmed/34604503 http://dx.doi.org/10.1007/s40808-021-01279-1 Text en © The Author(s), under exclusive licence to Springer Nature Switzerland AG 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 Article
Bhadauria, Archana Singh
Devi, Sapna
Gupta, Nivedita
Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay
title Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay
title_full Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay
title_fullStr Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay
title_full_unstemmed Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay
title_short Modelling and analysis of a SEIQR model on COVID-19 pandemic with delay
title_sort modelling and analysis of a seiqr model on covid-19 pandemic with delay
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8478011/
https://www.ncbi.nlm.nih.gov/pubmed/34604503
http://dx.doi.org/10.1007/s40808-021-01279-1
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