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

dc.contributor.authorSingh, Jaskirat Pal
dc.contributor.authorKumar, Sachin
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-06-05T11:43:44Z
dc.date.available2024-06-05T11:43:44Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractA 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.en_US
dc.identifier.citationSingh, Jaskirat Pal...et al. (2023). "MONKEYPOX VIRAL TRANSMISSION DYNAMICS AND FRACTIONAL-ORDER MODELING WITH VACCINATION INTERVENTION", Fractals, Vol. 31, No. 10.en_US
dc.identifier.doi10.1142/S0218348X23400960
dc.identifier.issn0218-348X
dc.identifier.issue10en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8486
dc.identifier.volume31en_US
dc.language.isoenen_US
dc.relation.ispartofFractalsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectExistence and Uniquenessen_US
dc.subjectFixed Point Theoryen_US
dc.subjectFractional Euler's Methoden_US
dc.subjectMonkeypoxen_US
dc.subjectNext-Generation Matrixen_US
dc.subjectReproduction Numberen_US
dc.subjectStability Analysisen_US
dc.titleMONKEYPOX VIRAL TRANSMISSION DYNAMICS AND FRACTIONAL-ORDER MODELING WITH VACCINATION INTERVENTIONtr_TR
dc.titleMONKEYPOX VIRAL TRANSMISSION DYNAMICS AND FRACTIONAL-ORDER MODELING WITH VACCINATION INTERVENTIONen_US
dc.typeArticleen_US
dspace.entity.typePublication

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