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Qualitative Analysis of a Mathematical Model in the Time of COVID-19

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dc.contributor.author Shah, Kamal
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Mahariq, Ibrahim
dc.contributor.author Jarad, Fahd
dc.contributor.author Deniz, Sinan
dc.date.accessioned 2022-12-07T12:01:54Z
dc.date.available 2022-12-07T12:01:54Z
dc.date.issued 2020
dc.identifier.citation Shah, Kamal...et al. (2020). "Qualitative Analysis of a Mathematical Model in the Time of COVID-19", BioMed Research International, Vol. 2020. tr_TR
dc.identifier.issn 2314-6133
dc.identifier.uri http://hdl.handle.net/20.500.12416/5946
dc.description.abstract In this article, a qualitative analysis of the mathematical model of novel corona virus named COVID-19 under nonsingular derivative of fractional order is considered. The concerned model is composed of two compartments, namely, healthy and infected. Under the new nonsingular derivative, we, first of all, establish some sufficient conditions for existence and uniqueness of solution to the model under consideration. Because of the dynamics of the phenomenon when described by a mathematical model, its existence must be guaranteed. Therefore, via using the classical fixed point theory, we establish the required results. Also, we present the results of stability of Ulam's type by using the tools of nonlinear analysis. For the semianalytical results, we extend the usual Laplace transform coupled with Adomian decomposition method to obtain the approximate solutions for the corresponding compartments of the considered model. Finally, in order to support our study, graphical interpretations are provided to illustrate the results by using some numerical values for the corresponding parameters of the model. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1155/2020/5098598 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.title Qualitative Analysis of a Mathematical Model in the Time of COVID-19 tr_TR
dc.type article tr_TR
dc.relation.journal BioMed Research International tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 2020 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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