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Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel

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dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Qureshi, Sania
dc.contributor.author İnç, Mustafa
dc.contributor.author Aliyu, Aliyu Isa
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Shaikh, Asif Ali
dc.date.accessioned 2020-03-17T13:30:17Z
dc.date.available 2020-03-17T13:30:17Z
dc.date.issued 2018-12
dc.identifier.citation Yusuf, Abdullahi...et al. (2018). "Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel", Chaos, Vol. 28, No. 12. tr_TR
dc.identifier.issn 1054-1500
dc.identifier.uri http://hdl.handle.net/20.500.12416/2655
dc.description.abstract In the present study, the fractional version with respect to the Atangana-Baleanu fractional derivative operator in the caputo sense (ABC) of the two-strain epidemic mathematical model involving two vaccinations has extensively been analyzed. Furthermore, using the fixed-point theory, it has been shown that the solution of the proposed fractional version of the mathematical model does not only exist but is also the unique solution under some conditions. The original mathematical model consists of six first order nonlinear ordinary differential equations, thereby requiring a numerical treatment for getting physical interpretations. Likewise, its fractional version is not possible to be solved by any existing analytical method. Therefore, in order to get the observations regarding the output of the model, it has been solved using a newly developed convergent numerical method based on the Atangana-Baleanu fractional derivative operator in the caputo sense. To believe upon the results obtained, the fractional order alpha has been allowed to vary between (0, 1], whereupon the physical observations match with those obtained in the classical case, but the fractional model has persisted all the memory effects making the model much more suitable when presented in the structure of fractional order derivatives for ABC. Finally, the fractional forward Euler method in the classical caputo sense has been used to illustrate the better performance of the numerical method obtained via the Atangana-Baleanu fractional derivative operator in the caputo sense. Published by AIP Publishing. tr_TR
dc.language.iso eng tr_TR
dc.publisher Amer Inst Physics tr_TR
dc.relation.isversionof 10.1063/1.5074084 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Influenza-A H1n1 tr_TR
dc.subject Perturbation tr_TR
dc.subject Immunization tr_TR
dc.subject Dynamics tr_TR
dc.subject Solitons tr_TR
dc.title Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel tr_TR
dc.type article tr_TR
dc.relation.journal Chaos tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 28 tr_TR
dc.identifier.issue 12 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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