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A peculiar application of the fractal–fractional derivative in the dynamics of a nonlinear scabies model

dc.contributor.authorRashid, Saima
dc.contributor.authorKanwal, Bushra
dc.contributor.authorJarad, Fahd
dc.contributor.authorElagan, S.K.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-02-14T07:49:28Z
dc.date.available2024-02-14T07:49:28Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we provide a generic mathematical framework for scabies transmission mechanisms. The infections involving susceptible, highly contagious people and juvenile scabiei mites are characterized by a framework of ordinary differential equations (DEs). The objective of this study is to examine the evolution of scabies disease employing a revolutionary configuration termed a fractal–fractional (FF) Atangana–Baleanu (AB) operator. Generic dynamical estimates are used to simulate the underlying pace of growth of vulnerable people, clinical outcomes, and also the eradication and propagation rates of contaminated people and immature mites. We study and comprehend our system, focusing on a variety of restrictions on its basic functionalities. The model's outcomes are assessed for positivity and boundedness. The formula includes a fundamental reproducing factor, R0, that ensures the presence and stability of all relevant states. Furthermore, the FF-AB operator is employed in the scabies model, and its mathematical formulation is presented using a novel process. We analyze the FF framework to construct various fractal and fractional levels and conclude that the FF theory predicts the affected occurrences of scabies illness adequately. The relevance and usefulness of the recently described operator has been demonstrated through simulations of various patterns of fractal and fractional data.en_US
dc.description.publishedMonth7
dc.identifier.citationRashid, Saima;...et.al. (2022). "A peculiar application of the fractal–fractional derivative in the dynamics of a nonlinear scabies model", Results in Physics, Vol.38.en_US
dc.identifier.doi10.1016/j.rinp.2022.105634
dc.identifier.issn22113797
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7198
dc.identifier.volume38en_US
dc.language.isoenen_US
dc.relation.ispartofResults in Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEquilibrium Pointen_US
dc.subjectFractal–Fractional Atangana–Baleanu Operatoren_US
dc.subjectScabies Transmissionen_US
dc.subjectStabilityen_US
dc.titleA peculiar application of the fractal–fractional derivative in the dynamics of a nonlinear scabies modeltr_TR
dc.titleA Peculiar Application of the Fractal–fractional Derivative in the Dynamics of a Nonlinear Scabies Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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