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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...
Autores principales: | , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
2022
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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. |
format | Online Article Text |
id | pubmed-9276771 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
record_format | MEDLINE/PubMed |
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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