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Modeling the dynamics of the novel coronavirus using Caputo-Fabrizio derivative

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dc.contributor.author Alzahrani, Ebraheem
dc.contributor.author El-Dessoky, M.M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-06-17T12:46:35Z
dc.date.available 2022-06-17T12:46:35Z
dc.date.issued 2021-10
dc.identifier.citation Alzahrani, Ebraheem; El-Dessoky, M.M.; Baleanu, Dumitru (2021).Modeling the dynamics of the novel coronavirus using Caputo-Fabrizio derivative " Alexandria Engineering Journal, Vol. 60, No. 5, pp. 4651-4662. tr_TR
dc.identifier.issn 1110-0168
dc.identifier.uri http://hdl.handle.net/20.500.12416/5672
dc.description.abstract The virus that begins from Wuhan China, known as COVID-19 or coronavirus is still a huge panic for humans around the globe. The elimination of this virus from our society needs proper attentions to follows the rule suggested by World Health Organization (WHO). A vast literature on the modeling of this infection in various perspective is available. In the present work, we design a new mathematical model for COVID-19 pandemic by utilizing the real infected cases reported from Kingdom of Saudi Arabia. Initially, we formulate the model with the help of classical integer order nonlinear differential equations. The treatment class is considered the model to analyze the impact of treatment on the disease dynamics. The Caputo-Fabrizio derivative with the non-singular exponential kernel is applied in order to reformulate the proposed COVID-19 transmission model with a fractional order. The biologically important parameter called the basic reproductive number is investigated both theoretically and numerically. The estimated values of R0 for the selected period are approximated to be 1.63. Further, by making use of the Picard Lindelöf theorem we provide the existence and uniqueness of the COVID-19 fractional epidemic model. Moreover, the fractional model is solved numerically and a number of simulation results are depicted using the real estimated parameters. The impact of various model parameters and memory index are shown graphically. We conclude that the fractional order epidemic models are more appropriate and provide deep insights into the disease dynamics. © 2021 THE AUTHORS tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2021.03.028 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo-Fabrizio Derivative tr_TR
dc.subject Coronavirus Infection tr_TR
dc.subject Existence and Uniqueness tr_TR
dc.subject Numerical Results tr_TR
dc.subject Real Data tr_TR
dc.title Modeling the dynamics of the novel coronavirus using Caputo-Fabrizio derivative tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 60 tr_TR
dc.identifier.issue 5 tr_TR
dc.identifier.startpage 4651 tr_TR
dc.identifier.endpage 4662 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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