Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data

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dc.contributor.authorJoshi, Hardik
dc.contributor.authorJha, Brajesh Kumar
dc.contributor.authorYavuz, Mehmet
dc.date.accessioned2024-02-23T14:37:32Z
dc.date.available2024-02-23T14:37:32Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractIn this paper, we construct the SV1V2EIR model to reveal the impact of two-dose vaccination on COVID-19 by using Caputo fractional derivative. The feasibility region of the proposed model and equilibrium points is derived. The basic reproduction number of the model is derived by using the next-generation matrix method. The local and global stability analysis is performed for both the disease-free and endemic equilibrium states. The present model is validated using real data reported for COVID-19 cumulative cases for the Republic of India from 1 January 2022 to 30 April 2022. Next, we conduct the sensitivity analysis to examine the effects of model parameters that affect the basic reproduction number. The Laplace Adomian decomposition method (LADM) is implemented to obtain an approximate solution. Finally, the graphical results are presented to examine the impact of the first dose of vaccine, the second dose of vaccine, disease transmission rate, and Caputo fractional derivatives to support our theoretical results.en_US
dc.identifier.doi10.3934/mbe.2023010
dc.identifier.endpage240en_US
dc.identifier.issn1547-1063
dc.identifier.issn1551-0018
dc.identifier.issue1en_US
dc.identifier.pmid36650763en_US
dc.identifier.scopus2-s2.0-85140899592en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage213en_US
dc.identifier.urihttps://doi.org/10.3934/mbe.2023010
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16145
dc.identifier.volume20en_US
dc.identifier.wosWOS:000876681000002en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofMathematical Biosciences And Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCovid-19en_US
dc.subjectVaccinationen_US
dc.subjectFractional-Order Derivativeen_US
dc.subjectLadmen_US
dc.titleModelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real dataen_US
dc.typeArticleen_US

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