Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate

Coronavirus disease 2019 (COVID-19) is a disease caused by severe acute respiratory syndrome coronavirus 2 (SARS CoV-2). It was declared on March 11, 2020, by the World Health Organization as a pandemic disease. Regrettably, the spread of the virus and mortality due to COVID-19 have continued to inc...

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Autores principales: Jitsinchayakul Sowwanee, Zarin Rahat, Khan Amir, Yusuf Abdullahi, Zaman Gul, Humphries Usa Wannasingha, Sulaiman Tukur A.
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Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/eaa0fc5fdee045f1bc759912a1e2fd32
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spelling oai:doaj.org-article:eaa0fc5fdee045f1bc759912a1e2fd322021-12-05T14:11:02ZFractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate2391-547110.1515/phys-2021-0062https://doaj.org/article/eaa0fc5fdee045f1bc759912a1e2fd322021-11-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0062https://doaj.org/toc/2391-5471Coronavirus disease 2019 (COVID-19) is a disease caused by severe acute respiratory syndrome coronavirus 2 (SARS CoV-2). It was declared on March 11, 2020, by the World Health Organization as a pandemic disease. Regrettably, the spread of the virus and mortality due to COVID-19 have continued to increase daily. The study is performed using the Atangana–Baleanu–Caputo operator with a harmonic mean type incidence rate. The existence and uniqueness of the solutions of the fractional COVID-19 epidemic model have been developed using the fixed point theory approach. Along with stability analysis, all the basic properties of the given model are studied. To highlight the most sensitive parameter corresponding to the basic reproductive number, sensitivity analysis is taken into account. Simulations are conducted using the first-order convergent numerical approach to determine how parameter changes influence the system’s dynamic behavior.Jitsinchayakul SowwaneeZarin RahatKhan AmirYusuf AbdullahiZaman GulHumphries Usa WannasinghaSulaiman Tukur A.De Gruyterarticleepidemic modelstability analysisnumerical simulationssensitivity analysiscovid-19PhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 693-709 (2021)
institution DOAJ
collection DOAJ
language EN
topic epidemic model
stability analysis
numerical simulations
sensitivity analysis
covid-19
Physics
QC1-999
spellingShingle epidemic model
stability analysis
numerical simulations
sensitivity analysis
covid-19
Physics
QC1-999
Jitsinchayakul Sowwanee
Zarin Rahat
Khan Amir
Yusuf Abdullahi
Zaman Gul
Humphries Usa Wannasingha
Sulaiman Tukur A.
Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate
description Coronavirus disease 2019 (COVID-19) is a disease caused by severe acute respiratory syndrome coronavirus 2 (SARS CoV-2). It was declared on March 11, 2020, by the World Health Organization as a pandemic disease. Regrettably, the spread of the virus and mortality due to COVID-19 have continued to increase daily. The study is performed using the Atangana–Baleanu–Caputo operator with a harmonic mean type incidence rate. The existence and uniqueness of the solutions of the fractional COVID-19 epidemic model have been developed using the fixed point theory approach. Along with stability analysis, all the basic properties of the given model are studied. To highlight the most sensitive parameter corresponding to the basic reproductive number, sensitivity analysis is taken into account. Simulations are conducted using the first-order convergent numerical approach to determine how parameter changes influence the system’s dynamic behavior.
format article
author Jitsinchayakul Sowwanee
Zarin Rahat
Khan Amir
Yusuf Abdullahi
Zaman Gul
Humphries Usa Wannasingha
Sulaiman Tukur A.
author_facet Jitsinchayakul Sowwanee
Zarin Rahat
Khan Amir
Yusuf Abdullahi
Zaman Gul
Humphries Usa Wannasingha
Sulaiman Tukur A.
author_sort Jitsinchayakul Sowwanee
title Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate
title_short Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate
title_full Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate
title_fullStr Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate
title_full_unstemmed Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate
title_sort fractional modeling of covid-19 epidemic model with harmonic mean type incidence rate
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/eaa0fc5fdee045f1bc759912a1e2fd32
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