Optimal existence of fractional order computer virus epidemic model and numerical simulations

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dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.contributor.authorAkgul, Ali
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorFatima, Umbreen
dc.contributor.authorAhmed, Nauman
dc.contributor.authorIqbal, Zafar
dc.contributor.authorRaza, Ali
dc.contributor.authorRafiq, Muhammad
dc.date.accessioned2024-12-24T19:24:15Z
dc.date.available2024-12-24T19:24:15Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractAim of this article is to analyze the fractional order computer epidemic model. To this end, a classical computer epidemic model is extended to the fractional order model by using the Atangana-Baleanu fractional differential operator in Caputo sense. The regularity condition for the solution to the considered system is described. Existence of the solution in the Banach space is investigated and some benchmark results are presented. Steady states of the system is described and stability of the model at these states is also studied, with the help of Jacobian matrix method. Some results for the local stability at disease free equilibrium point and endemic equilibrium point are presented. The basic reproduction number is mentioned and its role on stability analysis is also highlighted. The numerical design is formulated by applying the Atangana-Baleanu integral operator. The graphical solutions are also presented by computer simulations at both the equilibrium points.
dc.identifier.doi10.1002/mma.7437
dc.identifier.endpage10685
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue13
dc.identifier.scopus2-s2.0-85104406228
dc.identifier.scopusqualityQ1
dc.identifier.startpage10673
dc.identifier.urihttps://doi.org/10.1002/mma.7437
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5913
dc.identifier.volume44
dc.identifier.wosWOS:000640964200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectepidemic models
dc.subjectfractional derivatives
dc.subjectMittag– Leffler kernel
dc.subjectnumerical simulations
dc.titleOptimal existence of fractional order computer virus epidemic model and numerical simulations
dc.typeArticle

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