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Estimation of parameter of fractional order COVID-19 SIQR epidemic model
Epidemic model have been broadly used in different forms for studying and forecasting epidemiological processes the spread of dengue, zika virus , HIV, SARS and recently , the 2019–20 corona virus which is an ongoing pandemic of corona virus disease (COVID-19). In the present paper, an inverse probl...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier Ltd.
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7816950/ https://www.ncbi.nlm.nih.gov/pubmed/33495730 http://dx.doi.org/10.1016/j.matpr.2020.12.918 |
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author | Malik, Arti Kumar, Nitendra Alam, Khursheed |
author_facet | Malik, Arti Kumar, Nitendra Alam, Khursheed |
author_sort | Malik, Arti |
collection | PubMed |
description | Epidemic model have been broadly used in different forms for studying and forecasting epidemiological processes the spread of dengue, zika virus , HIV, SARS and recently , the 2019–20 corona virus which is an ongoing pandemic of corona virus disease (COVID-19). In the present paper, an inverse problem to find the parameters for the single term (multi term) fractional order system of an outbreak of COVID-19 is considered. In the starting, we propose a numerical method for fractional order corona virus system based on the Gorenflo-Mainardi-Moretti-Paradisi (GMMP) scheme, and then to find the parameters we use GMMP method and the modified hybrid Nelder-Mead Simplex search and particle swarm optimization algorithm. With the new fractional orders and parameters our fractional order corona virus system is capable to providing numerical results that agree well with the real data. |
format | Online Article Text |
id | pubmed-7816950 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Elsevier Ltd. |
record_format | MEDLINE/PubMed |
spelling | pubmed-78169502021-01-21 Estimation of parameter of fractional order COVID-19 SIQR epidemic model Malik, Arti Kumar, Nitendra Alam, Khursheed Mater Today Proc Article Epidemic model have been broadly used in different forms for studying and forecasting epidemiological processes the spread of dengue, zika virus , HIV, SARS and recently , the 2019–20 corona virus which is an ongoing pandemic of corona virus disease (COVID-19). In the present paper, an inverse problem to find the parameters for the single term (multi term) fractional order system of an outbreak of COVID-19 is considered. In the starting, we propose a numerical method for fractional order corona virus system based on the Gorenflo-Mainardi-Moretti-Paradisi (GMMP) scheme, and then to find the parameters we use GMMP method and the modified hybrid Nelder-Mead Simplex search and particle swarm optimization algorithm. With the new fractional orders and parameters our fractional order corona virus system is capable to providing numerical results that agree well with the real data. Elsevier Ltd. 2022 2021-01-16 /pmc/articles/PMC7816950/ /pubmed/33495730 http://dx.doi.org/10.1016/j.matpr.2020.12.918 Text en Copyright © 2020 Elsevier Ltd. All rights reserved. Selection and peer-review under responsibility of the scientific committee of the National Conference on Functional Materials: Emerging Technologies and Applications in Materials Science. 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 Malik, Arti Kumar, Nitendra Alam, Khursheed Estimation of parameter of fractional order COVID-19 SIQR epidemic model |
title | Estimation of parameter of fractional order COVID-19 SIQR epidemic model |
title_full | Estimation of parameter of fractional order COVID-19 SIQR epidemic model |
title_fullStr | Estimation of parameter of fractional order COVID-19 SIQR epidemic model |
title_full_unstemmed | Estimation of parameter of fractional order COVID-19 SIQR epidemic model |
title_short | Estimation of parameter of fractional order COVID-19 SIQR epidemic model |
title_sort | estimation of parameter of fractional order covid-19 siqr epidemic model |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7816950/ https://www.ncbi.nlm.nih.gov/pubmed/33495730 http://dx.doi.org/10.1016/j.matpr.2020.12.918 |
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