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New numerical dynamics of the fractional monkeypox virus model transmission pertaining to nonsingular kernels

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dc.contributor.author Qurashi, Maysaa Al
dc.contributor.author Rashid, Saima
dc.contributor.author Alshehri, Ahmed M.
dc.contributor.author Jarad, Fahd
dc.contributor.author Safdar, Farhat
dc.date.accessioned 2024-01-12T11:49:35Z
dc.date.available 2024-01-12T11:49:35Z
dc.date.issued 2023
dc.identifier.citation Qurashi, Maysaa Al;...et.al. (2023). "New numerical dynamics of the fractional monkeypox virus model transmission pertaining to nonsingular kernels", Mathematical Biosciences and Engineering, Vol.20, No.1, pp.402-436. tr_TR
dc.identifier.issn 15471063
dc.identifier.uri http://hdl.handle.net/20.500.12416/6880
dc.description.abstract Monkeypox (MPX) is a zoonotic illness that is analogous to smallpox. Monkeypox infections have moved across the forests of Central Africa, where they were first discovered, to other parts of the world. It is transmitted by the monkeypox virus, which is a member of the Poxviridae species and belongs to the Orthopoxvirus genus. In this article, the monkeypox virus is investigated using a deterministic mathematical framework within the Atangana-Baleanu fractional derivative that depends on the generalized Mittag-Leffler (GML) kernel. The system’s equilibrium conditions are investigated and examined for robustness. The global stability of the endemic equilibrium is addressed using Jacobian matrix techniques and the Routh-Hurwitz threshold. Furthermore, we also identify a criterion wherein the system’s disease-free equilibrium is globally asymptotically stable. Also, we employ a new approach by combining the two-step Lagrange polynomial and the fundamental concept of fractional calculus. The numerical simulations for multiple fractional orders reveal that as the fractional order reduces from 1, the virus’s transmission declines. The analysis results show that the proposed strategy is successful at reducing the number of occurrences in multiple groups. It is evident that the findings suggest that isolating affected people from the general community can assist in limiting the transmission of pathogens. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/mbe.2023019 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Atangana-Baleanu Differential Operators tr_TR
dc.subject Existence-Uniqueness tr_TR
dc.subject Lagrangre Interpolating Polynomial tr_TR
dc.subject Monkeypox Virus Model tr_TR
dc.subject Qualitative Analysis tr_TR
dc.title New numerical dynamics of the fractional monkeypox virus model transmission pertaining to nonsingular kernels tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Biosciences and Engineering tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 20 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 402 tr_TR
dc.identifier.endpage 436 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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