A Novel Modeling and Analysis of Fractional-Order COVID-19 Pandemic Having a Vaccination Strategy

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dc.authorscopusid57196455753
dc.authorscopusid57980188100
dc.authorscopusid57194218415
dc.contributor.authorYavuz, M.
dc.contributor.authorCoşar, F.Ö.
dc.contributor.authorUsta, Fuat
dc.date.accessioned2023-07-26T11:57:36Z
dc.date.available2023-07-26T11:57:36Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description5th International Conference of Mathematical Sciences, ICMS 2021 -- 23 June 2021 through 27 June 2021 -- 184127en_US
dc.description.abstractRecently, many illustrative studies have been performed on the mathematical modeling and analysis of COVID-19. Due to the uncertainty in the process of vaccination and its efficiency on the disease, there have not been taken enough studies into account yet. In this context, a mathematical model is developed to reveal the effects of vaccine treatment, which has been developed recently by several companies, on COVID-19 in this study. In the suggested model, as well as the vaccinated individuals, a five-dimensional ordinary differential equation system including the susceptible, infected, exposed and recovered population is constructed. This mentioned system is considered in the fractional order to investigate and point out more detailed analysis in the disease and its future prediction. Moreover, besides the positivity, existence and uniqueness of the solution, biologically feasible region are provided. The basic reproduction number, known as expected secondary infection which means that expected infection among the susceptible populations caused by this infection, is computed. In the numerical simulations, the parameter values taken from the literature and estimated are used to perform the solutions of the proposed model. In the numerical simulations, Adams-Bashforth algorithm which is a well-known numerical scheme is used to obtain the results. © 2022 American Institute of Physics Inc.. All rights reserved.en_US
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAKen_US
dc.description.sponsorshipThe authors were supported by TUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.identifier.doi10.1063/5.0114880
dc.identifier.isbn9.78074E+12
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85142532528en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1063/5.0114880
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13243
dc.identifier.volume2483en_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorUsta, Fuat
dc.language.isoenen_US
dc.publisherAmerican Institute of Physics Inc.en_US
dc.relation.ispartofAIP Conference Proceedingsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectCOVID-19 modelen_US
dc.subjectnumerical simulationen_US
dc.subjectstability analysisen_US
dc.subjecttreatment strategyen_US
dc.subjectvaccination policyen_US
dc.titleA Novel Modeling and Analysis of Fractional-Order COVID-19 Pandemic Having a Vaccination Strategyen_US
dc.typeConference Objecten_US

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