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A computational study of a stochastic fractal-fractional hepatitis B virus infection incorporating delayed immune reactions via the exponential decay

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dc.contributor.author Al Qurashi, Maysaa
dc.contributor.author Rashid, Saima
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-02-09T11:40:04Z
dc.date.available 2024-02-09T11:40:04Z
dc.date.issued 2022
dc.identifier.citation Al Qurashi, Maysaa; Rashid, Saima; Jarad, Fahd. (2022). "A computational study of a stochastic fractal-fractional hepatitis B virus infection incorporating delayed immune reactions via the exponential decay", Mathematical Biosciences and Engineering, Vol.19, No.12, pp.12950-12980. tr_TR
dc.identifier.issn 15471063
dc.identifier.uri http://hdl.handle.net/20.500.12416/7127
dc.description.abstract Recently, researchers have become interested in modelling, monitoring, and treatment of hepatitis B virus infection. Understanding the various connections between pathogens, immune systems, and general liver function is crucial. In this study, we propose a higher-order stochastically modified delay differential model for the evolution of hepatitis B virus transmission involving defensive cells. Taking into account environmental stimuli and ambiguities, we presented numerical solutions of the fractal-fractional hepatitis B virus model based on the exponential decay kernel that reviewed the hepatitis B virus immune system involving cytotoxic T lymphocyte immunological mechanisms. Furthermore, qualitative aspects of the system are analyzed such as the existence-uniqueness of the non-negative solution, where the infection endures stochastically as a result of the solution evolving within the predetermined system’s equilibrium state. In certain settings, infection-free can be determined, where the illness settles down tremendously with unit probability. To predict the viability of the fractal-fractional derivative outcomes, a novel numerical approach is used, resulting in several remarkable modelling results, including a change in fractional-order δ with constant fractal-dimension $, δ with changing $, and δ with changing both δ and $. White noise concentration has a significant impact on how bacterial infections are treated. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/mbe.2022605 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Existence And Uniqueness tr_TR
dc.subject Fractal-Fractional Caputo-Fabrizio Differential Operators tr_TR
dc.subject HBV Model tr_TR
dc.subject Numerical Solution tr_TR
dc.subject Qualitative Analysis tr_TR
dc.title A computational study of a stochastic fractal-fractional hepatitis B virus infection incorporating delayed immune reactions via the exponential decay 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 19 tr_TR
dc.identifier.issue 12 tr_TR
dc.identifier.startpage 12950 tr_TR
dc.identifier.endpage 12980 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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