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On a new and generalized fractional model for a real cholera outbreak

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Ghassabzade, Fahimeh Akhavan
dc.contributor.author Nieto, Juan J.
dc.contributor.author Jajarmi, Amin
dc.date.accessioned 2024-04-29T12:21:23Z
dc.date.available 2024-04-29T12:21:23Z
dc.date.issued 2022-11
dc.identifier.citation Baleanu, Dumitru;...et.al. (2022). "On a new and generalized fractional model for a real cholera outbreak", Alexandria Engineering Journal, Vol.61, No.11, pp.9175-9186. tr_TR
dc.identifier.issn 11100168
dc.identifier.uri http://hdl.handle.net/20.500.12416/8055
dc.description.abstract In this paper, a new mathematical model involving the general form of Caputo fractional derivative is studied for a real case of cholera outbreak. Fundamental properties of the new model including the equilibrium points as well as the basic reproduction number are explored. Also, an efficient approximation scheme on the basis of product-integration rule is established to solve the new model. Several kernel functions for the general fractional derivative are tested, and the results are compared with the real data of a cholera outbreak in Yemen. As a consequence, we find a special case in which the aforesaid outbreak is described better, for the corresponding numerical simulations are closer to the real data than the other classical and fractional frameworks. Next, we apply the most realistic model to investigate the effect of vaccination on the considered cholera outbreak. Simulation results show that earlier vaccination could reduce the number of infected individuals effectively, so mortality would have been reduced considerably if the vaccination had been performed earlier. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2022.02.054 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Cholera Outbreak tr_TR
dc.subject Fractional Derivative tr_TR
dc.subject General Kernel tr_TR
dc.subject Numerical Method tr_TR
dc.subject Product-Integration Rule tr_TR
dc.subject Stability Analysis tr_TR
dc.title On a new and generalized fractional model for a real cholera outbreak 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 11 tr_TR
dc.identifier.startpage 9175 tr_TR
dc.identifier.endpage 9186 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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