Deterministic and fractional modeling of a computer virus propagation

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dc.authoridkhaliq, Hammad/0000-0002-5442-7566
dc.authoridkhan, Dolat/0000-0002-3723-0796
dc.authoridZarin, Rahat/0000-0002-9759-2924
dc.contributor.authorZarin, Rahat
dc.contributor.authorKhaliq, Hammad
dc.contributor.authorKhan, Amir
dc.contributor.authorKhan, Dolat
dc.contributor.authorAkgul, Ali
dc.contributor.authorHumphries, Usa Wannasingha
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe dynamic behaviors of computer virus models are investigated. In the first phase, we discussed the deterministic version of the proposed model by taking into consideration the local and global stability. For global stability the Castillo-Chavez approach is taken into account. The deterministic version is numerically solved by the Runge-Kutta scheme. The model is then fractionalized by using the Atangana-Baleanu-Caputo operator. Existence uniqueness and Hyers-Ulam stability of the fractionalized model is established. The Atangana-Toufik method is used for the numerical examination of a fractional version of the proposed model.
dc.identifier.doi10.1016/j.rinp.2021.105130
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85122545122
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2021.105130
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6729
dc.identifier.volume33
dc.identifier.wosWOS:000786368400004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectComputer virus
dc.subjectStability analysis
dc.subjectMittag-Leffler function
dc.subjectAtangana-Toufik method
dc.subjectNumerical simulations
dc.titleDeterministic and fractional modeling of a computer virus propagation
dc.typeArticle

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