An optimal control of bi-modal COVID -19 SEIQR epidemic spreading model in India

A pandemic is a disease that spreads over a broad territory. COVID-19 is the latest pandemic to be reported, following the 1918 flu pandemic. We develop a compartmental model based on the classic SEIQR model to investigate coronavirus dynamics in India, incorporating bi-modal susceptible variables a...

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Autores principales: Sumathi, Muthukumar, Abilasha, Balakumar, Ravikumar, Subalakshmi, Veeramani, Chinnadurai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier B.V. 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10276503/
http://dx.doi.org/10.1016/j.rico.2023.100256
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author Sumathi, Muthukumar
Abilasha, Balakumar
Ravikumar, Subalakshmi
Veeramani, Chinnadurai
author_facet Sumathi, Muthukumar
Abilasha, Balakumar
Ravikumar, Subalakshmi
Veeramani, Chinnadurai
author_sort Sumathi, Muthukumar
collection PubMed
description A pandemic is a disease that spreads over a broad territory. COVID-19 is the latest pandemic to be reported, following the 1918 flu pandemic. We develop a compartmental model based on the classic SEIQR model to investigate coronavirus dynamics in India, incorporating bi-modal susceptible variables and quarantine in this article. We found the reproduction number by using the next-generation matrix. The stability results were statistically validated using the reproduction number. Moreover, global stability analyses are performed analytically and illustrated through numerical simulations. In optimal control analysis, four control parameters are used to explore the increase and decrease of the infected and exposed individuals.
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spelling pubmed-102765032023-06-21 An optimal control of bi-modal COVID -19 SEIQR epidemic spreading model in India Sumathi, Muthukumar Abilasha, Balakumar Ravikumar, Subalakshmi Veeramani, Chinnadurai Results in Control and Optimization Article A pandemic is a disease that spreads over a broad territory. COVID-19 is the latest pandemic to be reported, following the 1918 flu pandemic. We develop a compartmental model based on the classic SEIQR model to investigate coronavirus dynamics in India, incorporating bi-modal susceptible variables and quarantine in this article. We found the reproduction number by using the next-generation matrix. The stability results were statistically validated using the reproduction number. Moreover, global stability analyses are performed analytically and illustrated through numerical simulations. In optimal control analysis, four control parameters are used to explore the increase and decrease of the infected and exposed individuals. The Author(s). Published by Elsevier B.V. 2023-06-17 /pmc/articles/PMC10276503/ http://dx.doi.org/10.1016/j.rico.2023.100256 Text en © 2023 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
Sumathi, Muthukumar
Abilasha, Balakumar
Ravikumar, Subalakshmi
Veeramani, Chinnadurai
An optimal control of bi-modal COVID -19 SEIQR epidemic spreading model in India
title An optimal control of bi-modal COVID -19 SEIQR epidemic spreading model in India
title_full An optimal control of bi-modal COVID -19 SEIQR epidemic spreading model in India
title_fullStr An optimal control of bi-modal COVID -19 SEIQR epidemic spreading model in India
title_full_unstemmed An optimal control of bi-modal COVID -19 SEIQR epidemic spreading model in India
title_short An optimal control of bi-modal COVID -19 SEIQR epidemic spreading model in India
title_sort optimal control of bi-modal covid -19 seiqr epidemic spreading model in india
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10276503/
http://dx.doi.org/10.1016/j.rico.2023.100256
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