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MONKEYPOX VIRAL TRANSMISSION DYNAMICS AND FRACTIONAL-ORDER MODELING WITH VACCINATION INTERVENTION

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dc.contributor.author Singh, Jaskirat Pal
dc.contributor.author Kumar, Sachin
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Nisar, Kottakkaran Sooppy
dc.date.accessioned 2024-06-05T11:43:44Z
dc.date.available 2024-06-05T11:43:44Z
dc.date.issued 2023
dc.identifier.citation Singh, Jaskirat Pal...et al. (2023). "MONKEYPOX VIRAL TRANSMISSION DYNAMICS AND FRACTIONAL-ORDER MODELING WITH VACCINATION INTERVENTION", Fractals, Vol. 31, No. 10. tr_TR
dc.identifier.issn 0218-348X
dc.identifier.uri http://hdl.handle.net/20.500.12416/8486
dc.description.abstract A current outbreak of the monkeypox viral infection, which started in Nigeria, has spread to other areas of the globe. This affects over 28 nations, including the United Kingdom and the United States. The monkeypox virus causes monkeypox (MPX), which is comparable to smallpox and cowpox (MPXV). The monkeypox virus is a member of the Poxviridae family and belongs to the Orthopoxvirus genus. In this work, a novel fractional model for Monkeypox based on the Caputo derivative is explored. For the model, two equilibria have been established: disease-free and endemic equilibrium. Using the next-generation matrix and Castillo's technique, if R0 < 1 the global asymptotic stability of disease-free equilibrium is shown. The linearization demonstrated that the endemic equilibrium point is locally asymptotically stable if R0 > 1. Using the parameter values, the model's fundamental reproduction rates for both humans and non-humans are calculated. The existence and uniqueness of the solution are proved using fixed point theory. The model's numerical simulations demonstrate that the recommended actions will cause the infected people in the human and non-human populations to disappear. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/S0218348X23400960 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo Fractional Derivative tr_TR
dc.subject Existence and Uniqueness tr_TR
dc.subject Fixed Point Theory tr_TR
dc.subject Fractional Euler's Method tr_TR
dc.subject Monkeypox tr_TR
dc.subject Next-Generation Matrix tr_TR
dc.subject Reproduction Number tr_TR
dc.subject Stability Analysis tr_TR
dc.title MONKEYPOX VIRAL TRANSMISSION DYNAMICS AND FRACTIONAL-ORDER MODELING WITH VACCINATION INTERVENTION tr_TR
dc.type article tr_TR
dc.relation.journal Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 31 tr_TR
dc.identifier.issue 10 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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