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A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

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dc.contributor.author Habenom, Haile
dc.contributor.author Suthar, D. L.
dc.contributor.author Baleanu, D.
dc.contributor.author Purohit, S. D.
dc.date.accessioned 2024-02-13T13:11:30Z
dc.date.available 2024-02-13T13:11:30Z
dc.date.issued 2021-01-01
dc.identifier.citation Habenom, Haile;...et.al. (2021). "A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model", Journal Of Computational And Nonlinear Dynamics, Vol.16, No.1. tr_TR
dc.identifier.issn 1555-1423
dc.identifier.uri http://hdl.handle.net/20.500.12416/7185
dc.description.abstract The aim of this paper is to develop a fractional order mathematical model for describing the spread of hepatitis B virus (HBV). We also provide a rigorous mathematical analysis of the stability of the disease-free equilibrium (DFE) and the endemic equilibrium of the system based on the basic reproduction number. Here, the infectious disease HBV model is described mathematically in a nonlinear system of differential equations in a caputo sense, and hence, Jacobi collocation method is used to reduce into a system of nonlinear equations. Finally, Newton Raphson method is used for the systems of nonlinear equations to arrive at an approximate solution and matlab 2018 has helped us to simulate the nature of each compartment and effects of the possible control strategies (i.e., vaccination and isolation). tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1115/1.4048475 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Calculus tr_TR
dc.title A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model tr_TR
dc.type article tr_TR
dc.relation.journal Journal Of Computational And Nonlinear Dynamics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 16 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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