Stability analysis of a fractional ordered COVID-19 model

Stability analysis of a fractional ordered COVID-19 model

The main purpose of this work is to study transmission dynamics of COVID-19 in Italy 2020, where the first case of Coronavirus disease 2019 (COVID-19) in Italy was reported on 31st January 2020. Taking into account the uncertainty due to the limited information about the Coronavirus (COVID-19), we h...

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Autores principales: Das Meghadri, Samanta Guruprasad
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
Materias:
caputo fractional differential equation
covid-19
sair compartmental model
stability
sensitivity index
92d30
37n25
Biotechnology
TP248.13-248.65
Physics
QC1-999
Acceso en línea:https://doaj.org/article/f8d6a576a6424c279d0351649f9e963e
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spelling oai:doaj.org-article:f8d6a576a6424c279d0351649f9e963e2021-12-05T14:10:44ZStability analysis of a fractional ordered COVID-19 model2544-729710.1515/cmb-2020-0116https://doaj.org/article/f8d6a576a6424c279d0351649f9e963e2021-03-01T00:00:00Zhttps://doi.org/10.1515/cmb-2020-0116https://doaj.org/toc/2544-7297The main purpose of this work is to study transmission dynamics of COVID-19 in Italy 2020, where the first case of Coronavirus disease 2019 (COVID-19) in Italy was reported on 31st January 2020. Taking into account the uncertainty due to the limited information about the Coronavirus (COVID-19), we have taken the modified Susceptible-Asymptomatic-Infectious-Recovered (SAIR) compartmental model under fractional order framework. We have formulated our model by subdividing infectious compartment into two sub compartments (reported and unreported) and introduced hospitalized class. In this work, we have studied the local and global stability of the system at different equilibrium points (disease free and endemic) and calculated sensitivity index for Italy scenario. The validity of the model is justified by comparing real data with the results obtained from simulations.Das MeghadriSamanta GuruprasadDe Gruyterarticlecaputo fractional differential equationcovid-19sair compartmental modelstabilitysensitivity index92d3037n25BiotechnologyTP248.13-248.65PhysicsQC1-999ENComputational and Mathematical Biophysics, Vol 9, Iss 1, Pp 22-45 (2021)
institution DOAJ
collection DOAJ
language EN
topic caputo fractional differential equation
covid-19
sair compartmental model
stability
sensitivity index
92d30
37n25
Biotechnology
TP248.13-248.65
Physics
QC1-999
spellingShingle caputo fractional differential equation
covid-19
sair compartmental model
stability
sensitivity index
92d30
37n25
Biotechnology
TP248.13-248.65
Physics
QC1-999
Das Meghadri
Samanta Guruprasad
Stability analysis of a fractional ordered COVID-19 model
description The main purpose of this work is to study transmission dynamics of COVID-19 in Italy 2020, where the first case of Coronavirus disease 2019 (COVID-19) in Italy was reported on 31st January 2020. Taking into account the uncertainty due to the limited information about the Coronavirus (COVID-19), we have taken the modified Susceptible-Asymptomatic-Infectious-Recovered (SAIR) compartmental model under fractional order framework. We have formulated our model by subdividing infectious compartment into two sub compartments (reported and unreported) and introduced hospitalized class. In this work, we have studied the local and global stability of the system at different equilibrium points (disease free and endemic) and calculated sensitivity index for Italy scenario. The validity of the model is justified by comparing real data with the results obtained from simulations.
format article
author Das Meghadri
Samanta Guruprasad
author_facet Das Meghadri
Samanta Guruprasad
author_sort Das Meghadri
title Stability analysis of a fractional ordered COVID-19 model
title_short Stability analysis of a fractional ordered COVID-19 model
title_full Stability analysis of a fractional ordered COVID-19 model
title_fullStr Stability analysis of a fractional ordered COVID-19 model
title_full_unstemmed Stability analysis of a fractional ordered COVID-19 model
title_sort stability analysis of a fractional ordered covid-19 model
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/f8d6a576a6424c279d0351649f9e963e
work_keys_str_mv AT dasmeghadri stabilityanalysisofafractionalorderedcovid19model
AT samantaguruprasad stabilityanalysisofafractionalorderedcovid19model
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