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

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dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.contributor.authorIqbal, Zafar
dc.contributor.authorRehman, Muhammad Aziz-ur
dc.contributor.authorImran, Muhammad
dc.contributor.authorAhmed, Nauman
dc.contributor.authorFatima, Umbreen
dc.contributor.authorAkgul, Ali
dc.contributor.authorRafiq, Muhammad
dc.date.accessioned2024-12-24T19:34:02Z
dc.date.available2024-12-24T19:34:02Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 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.
dc.identifier.doi10.3934/math.2023121
dc.identifier.endpage2359
dc.identifier.issn2473-6988
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85140872661
dc.identifier.scopusqualityQ1
dc.identifier.startpage2337
dc.identifier.urihttps://doi.org/10.3934/math.2023121
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8401
dc.identifier.volume8
dc.identifier.wosWOS:000982628500012
dc.identifier.wosqualityQ1
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.subjectcomputer virus
dc.subjectfractional order system
dc.subjectGrunwald Letinkov technique
dc.subjectnonstandard finite differences
dc.subjectsimulations
dc.titleA finite difference scheme to solve a fractional order epidemic model of computer virus
dc.typeArticle

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