Analytical study of a Hepatitis B epidemic model using a discrete generalized nonsingular kernel

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dc.authoridShehzad, Aamir/0009-0007-7995-2141
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorConejero, J. Alberto
dc.contributor.authorShehzad, Aamir
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:34:02Z
dc.date.available2024-12-24T19:34:02Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractHepatitis B is a worldwide viral infection that causes cirrhosis, hepatocellular cancer, the need for liver transplantation, and death. This work proposed a mathematical representation of Hepatitis B Virus (HBV) transmission traits emphasizing the significance of applied mathematics in comprehending how the disease spreads. The work used an updated Atangana-Baleanu fractional difference operator to create a fractional -order model of HBV. The qualitative assessment and wellposedness of the mathematical framework were looked at, and the global stability of equilibrium states as measured by the Volterra -type Lyapunov function was summarized. The exact answer was guaranteed to be unique using the Lipschitz condition. Additionally, there were various analyses of this new type of operator to support the operator's efficacy. We observe that the explored discrete fractional operators will be x 2 -increasing or decreasing in certain domains of the time scale N j : = j , j + 1 ,... by looking at the fundamental characteristics of the proposed discrete fractional operators along with x -monotonicity descriptions. For numerical simulations, solutions were constructed in the discrete generalized form of the Mittag-Leffler kernel, highlighting the impacts of the illness caused by numerous causes. The order of the fractional derivative had a significant influence on the dynamical process utilized to construct the HBV model. Researchers and policymakers can benefit from the suggested model's ability to forecast infectious diseases such as HBV and take preventive action.
dc.identifier.doi10.3934/math.2024824
dc.identifier.endpage16997
dc.identifier.issn2473-6988
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85193273387
dc.identifier.scopusqualityQ1
dc.identifier.startpage16966
dc.identifier.urihttps://doi.org/10.3934/math.2024824
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8399
dc.identifier.volume9
dc.identifier.wosWOS:001247343200006
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectHepatitis B model
dc.subjectdiscrete Mittag-Leffler kernel
dc.subjectchi-monotonicity investigations
dc.subjectVolterra-type Lyapunov function
dc.titleAnalytical study of a Hepatitis B epidemic model using a discrete generalized nonsingular kernel
dc.typeArticle

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