Modeling and analysis of fractional order Zika model

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dc.authoridAhmad, Hijaz/0000-0002-5438-5407
dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAskar, Sameh
dc.contributor.authorBotmart, Thongchai
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorAhmad, Hijaz
dc.date.accessioned2024-12-24T19:33:59Z
dc.date.available2024-12-24T19:33:59Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractWe propose mathematical model for the transmission of the Zika virus for humans spread by mosquitoes. We construct a scheme for the Zika virus model with Atangna-Baleanue Caputo sense and fractal fractional operator by using generalized Mittag-Leffler kernel. The positivity and boundedness of the model are also calculated. The existence of uniquene solution is derived and stability analysis has been made for the model by using the fixed point theory. Numerical simulations are made by using the Atangana-Toufik scheme and fractal fractional operator with a different dimension of fractional values which support the theoretical outcome of the proposed system. Developed scheme including simulation will provide better understanding in future analysis and for control strategy regarding Zika virus.
dc.description.sponsorshipKing Saud University, Riyadh, Saudi Arabia [RSP-2021/167]
dc.description.sponsorshipResearch Supporting Project number (RSP-2021/167), King Saud University, Riyadh, Saudi Arabia.
dc.identifier.doi10.3934/math.2022216
dc.identifier.endpage3938
dc.identifier.issn2473-6988
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85121034350
dc.identifier.scopusqualityQ1
dc.identifier.startpage3912
dc.identifier.urihttps://doi.org/10.3934/math.2022216
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8376
dc.identifier.volume7
dc.identifier.wosWOS:000753857500020
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.subjectZika virus
dc.subjectAtangana-Baleanu in Caputo sense
dc.subjectAtangana-Toufik
dc.subjectfractal fractional
dc.subjectMittag-Leffler kernel
dc.titleModeling and analysis of fractional order Zika model
dc.typeArticle

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