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A new fractional SICA model and numerical method for the transmission of HIV/AIDS

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dc.contributor.author Zaka Ullah, Malik
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-02-14T07:57:26Z
dc.date.available 2023-02-14T07:57:26Z
dc.date.issued 2021-07-30
dc.identifier.citation Zaka Ullah, Malik; Baleanu, Dumitru (2021). "A new fractional SICA model and numerical method for the transmission of HIV/AIDS", Mathematical Methods in the Applied Sciences, Vol. 44, No. 11, pp. 8648-8659. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/6223
dc.description.abstract In this research, a new SICA model is proposed in a fractional framework for the HIV/AIDS transmission dynamics. The new model involves a Caputo-type fractional derivative with a Mittag-Leffler function as its nonsingular kernel. In addition, the resultant fractional equations avoid dimensional mismatching by using an auxiliary parameter. Furthermore, the nonnegativity of the solution, the equilibrium points, and their stability are studied. Additionally, we implement the model by a powerful approximation scheme based on the product-integration rule. Comparative results with the real experimental observations, happened in Cape Verde Islands from 1987 to 2014, verify that the new fractional model is more efficient than the pre-existent classical model with ordinary time derivatives. More to the point, the fractional order itself provides a degree of flexibility affecting the performance of the model, which is helpful to exhibit the hidden features of the disease transmission in an accurate, appropriate manner. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1002/mma.7292 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Derivative tr_TR
dc.subject HIV/AIDS Transmission tr_TR
dc.subject Mittag-Leffler Kernel tr_TR
dc.subject Numerical Method tr_TR
dc.subject SICA Model tr_TR
dc.title A new fractional SICA model and numerical method for the transmission of HIV/AIDS tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 44 tr_TR
dc.identifier.issue 11 tr_TR
dc.identifier.startpage 8648 tr_TR
dc.identifier.endpage 8659 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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