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Study of a COVID-19 mathematical model

In this chapter, we develop the mathematical model of four compartments including classes of susceptible, infected, recovered, and death of infected ones for the recent outbreak of a coronavirus infectious disease (COVID-19). The model is investigated for both integer-order and fractional-order deri...

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Autores principales: Hussain, Tariq, Eiman, Ullah, Hayat, Mahmood, Khalid, Arfan, Muhammad, Gul, Rozi, Shah, Kamal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9276771/
http://dx.doi.org/10.1016/B978-0-323-99888-8.00001-2
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author Hussain, Tariq
Eiman
Ullah, Hayat
Mahmood, Khalid
Arfan, Muhammad
Gul, Rozi
Shah, Kamal
author_facet Hussain, Tariq
Eiman
Ullah, Hayat
Mahmood, Khalid
Arfan, Muhammad
Gul, Rozi
Shah, Kamal
author_sort Hussain, Tariq
collection PubMed
description In this chapter, we develop the mathematical model of four compartments including classes of susceptible, infected, recovered, and death of infected ones for the recent outbreak of a coronavirus infectious disease (COVID-19). The model is investigated for both integer-order and fractional-order derivatives. The integer-order model is analyzed for an approximate solution using the Taylor's series method along with the numerical simulation showing the validity of the obtained scheme. The fractional-order model is evaluated numerically by Euler's iterative techniques and its results are compared to that of the Taylor's series scheme. The numerical simulation is drawn against the available data at different fractional orders. The fractional-order model is also investigated for qualitative analysis using the well-known theorems of fixed-point theory. The said model is also checked for feasibility and stability by using the techniques of basic reproduction number.
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spelling pubmed-92767712022-07-14 Study of a COVID-19 mathematical model Hussain, Tariq Eiman Ullah, Hayat Mahmood, Khalid Arfan, Muhammad Gul, Rozi Shah, Kamal Methods of Mathematical Modeling Article In this chapter, we develop the mathematical model of four compartments including classes of susceptible, infected, recovered, and death of infected ones for the recent outbreak of a coronavirus infectious disease (COVID-19). The model is investigated for both integer-order and fractional-order derivatives. The integer-order model is analyzed for an approximate solution using the Taylor's series method along with the numerical simulation showing the validity of the obtained scheme. The fractional-order model is evaluated numerically by Euler's iterative techniques and its results are compared to that of the Taylor's series scheme. The numerical simulation is drawn against the available data at different fractional orders. The fractional-order model is also investigated for qualitative analysis using the well-known theorems of fixed-point theory. The said model is also checked for feasibility and stability by using the techniques of basic reproduction number. 2022 2022-06-24 /pmc/articles/PMC9276771/ http://dx.doi.org/10.1016/B978-0-323-99888-8.00001-2 Text en Copyright © 2022 Elsevier Inc. 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
Hussain, Tariq
Eiman
Ullah, Hayat
Mahmood, Khalid
Arfan, Muhammad
Gul, Rozi
Shah, Kamal
Study of a COVID-19 mathematical model
title Study of a COVID-19 mathematical model
title_full Study of a COVID-19 mathematical model
title_fullStr Study of a COVID-19 mathematical model
title_full_unstemmed Study of a COVID-19 mathematical model
title_short Study of a COVID-19 mathematical model
title_sort study of a covid-19 mathematical model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9276771/
http://dx.doi.org/10.1016/B978-0-323-99888-8.00001-2
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