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A finite difference scheme to solve a fractional order epidemic model of computer virus

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dc.contributor.author Iqbal, Zafar
dc.contributor.author Rehman, Muhammad Aziz-ur
dc.contributor.author Imran, Muhammad
dc.contributor.author Ahmed, Nauman
dc.contributor.author Fatima, Umbreen
dc.contributor.author Akgul, Ali
dc.contributor.author Rafiq, Muhammad
dc.contributor.author Raza, Ali
dc.contributor.author Djuraev, Ali Asrorovich
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2023-11-22T11:51:29Z
dc.date.available 2023-11-22T11:51:29Z
dc.date.issued 2023
dc.identifier.citation Iqbal, Zafar...et al. (2023). "A finite difference scheme to solve a fractional order epidemic model of computer virus", Aims Mathematics, Vol.8, No. 1, pp.2337-2359. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/6561
dc.description.abstract In this article, an analytical and numerical analysis of a computer virus epidemic model is presented. To more thoroughly examine the dynamics of the virus, the classical model is transformed into a fractional order model. The Caputo differential operator is applied to achieve this. The Jacobian approach is employed to investigate the model's stability. To investigate the model's numerical solution, a hybridized numerical scheme called the Grunwald Letnikov nonstandard finite difference (GL-NSFD) scheme is created. Some essential characteristics of the population model are scrutinized, including positivity boundedness and scheme stability. The aforementioned features are validated using test cases and computer simulations. The mathematical graphs are all detailed. It is also investigated how the fundamental reproduction number R0 functions in stability analysis and illness dynamics. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2023121 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Computer Virus tr_TR
dc.subject Fractional Order System tr_TR
dc.subject Grunwald Letinkov Technique tr_TR
dc.subject Nonstandard Finite Differences tr_TR
dc.subject Simulations tr_TR
dc.title A finite difference scheme to solve a fractional order epidemic model of computer virus tr_TR
dc.type article tr_TR
dc.relation.journal Aims Mathematics tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 2337 tr_TR
dc.identifier.endpage 2359 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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