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Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic

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dc.contributor.author Butt, A.I.K.
dc.contributor.author Ahmad, W.
dc.contributor.author Rafiq, M.
dc.contributor.author Baleanu, D.
dc.date.accessioned 2024-04-29T12:18:01Z
dc.date.available 2024-04-29T12:18:01Z
dc.date.issued 2022-09
dc.identifier.citation Butt A.I.K.;...et.al. (2022). "Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic", Alexandria Engineering Journal, Vol.61, No.9, pp.7007-7027. tr_TR
dc.identifier.issn 11100168
dc.identifier.uri http://hdl.handle.net/20.500.12416/8034
dc.description.abstract In this manuscript, we formulated a new nonlinear SEIQR fractional order pandemic model for the Corona virus disease (COVID-19) with Atangana-Baleanu derivative. Two main equilibrium points F0∗,F1∗ of the proposed model are stated. Threshold parameter R0 for the model using next generation technique is computed to investigate the future dynamics of the disease. The existence and uniqueness of solution is proved using a fixed point theorem. For the numerical solution of fractional model, we implemented a newly proposed Toufik-Atangana numerical scheme to validate the importance of arbitrary order derivative ρ and our obtained theoretical results. It is worth mentioning that fractional order derivative provides much deeper information about the complex dynamics of Corona model. Results obtained through the proposed scheme are dynamically consistent and good in agreement with the analytical results. To draw our conclusions, we explore a complete quantitative analysis of the given model for different quarantine levels. It is claimed through numerical simulations that pandemic could be eradicated faster if a human community selfishly adopts mandatory quarantine measures at various coverage levels with proper awareness. Finally, we have executed the joint variability of all classes to understand the effectiveness of quarantine policy on human population. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2021.12.042 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Atangana-Baleanu Derivative tr_TR
dc.subject COVID-19 tr_TR
dc.subject Existence And Uniqueness tr_TR
dc.subject Numerical Analysis tr_TR
dc.subject Quarantine tr_TR
dc.subject Stability tr_TR
dc.subject Threshold Parameter tr_TR
dc.title Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 61 tr_TR
dc.identifier.issue 9 tr_TR
dc.identifier.startpage 7007 tr_TR
dc.identifier.endpage 7027 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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