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Dynamical behaviours and stability analysis of a generalized fractional model with a real case study

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dc.contributor.author Baleanu, D.
dc.contributor.author Arshad, S.
dc.contributor.author Jajarmi, A.
dc.contributor.author Shokat, W.
dc.contributor.author Ghassabzade, F. Akhavan
dc.contributor.author Wali, M.
dc.date.accessioned 2023-12-07T08:36:28Z
dc.date.available 2023-12-07T08:36:28Z
dc.date.issued 2023-06
dc.identifier.citation Baleanu, D...et.al. "Dynamical behaviours and stability analysis of a generalized fractional model with a real case study", Journal of Advanced Research, Vol.48, pp.157-173. tr_TR
dc.identifier.issn 20901232
dc.identifier.uri http://hdl.handle.net/20.500.12416/6754
dc.description.abstract Introduction: Mathematical modelling is a rapidly expanding field that offers new and interesting opportunities for both mathematicians and biologists. Concerning COVID-19, this powerful tool may help humans to prevent the spread of this disease, which has affected the livelihood of all people badly. Objectives: The main objective of this research is to explore an efficient mathematical model for the investigation of COVID-19 dynamics in a generalized fractional framework. Methods: The new model in this paper is formulated in the Caputo sense, employs a nonlinear time-varying transmission rate, and consists of ten population classes including susceptible, infected, diagnosed, ailing, recognized, infected real, threatened, diagnosed recovered, healed, and extinct people. The existence of a unique solution is explored for the new model, and the associated dynamical behaviours are discussed in terms of equilibrium points, invariant region, local and global stability, and basic reproduction number. To implement the proposed model numerically, an efficient approximation scheme is employed by the combination of Laplace transform and a successive substitution approach; besides, the corresponding convergence analysis is also investigated. Results: Numerical simulations are reported for various fractional orders, and simulation results are compared with a real case of COVID-19 pandemic in Italy. By using these comparisons between the simulated and measured data, we find the best value of the fractional order with minimum absolute and relative errors. Also, the impact of different parameters on the spread of viral infection is analyzed and studied. Conclusion: According to the comparative results with real data, we justify the use of fractional concepts in the mathematical modelling, for the new non-integer formalism simulates the reality more precisely than the classical framework. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.jare.2022.08.010 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject COVID-19 Pandemic tr_TR
dc.subject Existence And Uniqueness Results tr_TR
dc.subject Fractional Model tr_TR
dc.subject Numerical Method tr_TR
dc.subject Stability Analysis tr_TR
dc.title Dynamical behaviours and stability analysis of a generalized fractional model with a real case study tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Advanced Research tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 48 tr_TR
dc.identifier.startpage 157 tr_TR
dc.identifier.endpage 173 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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