The analysis of a new fractional model to the Zika virus infection with mutant

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dc.authoridKhan, Muhammad Altaf/0000-0002-4483-7879
dc.authoridAsiri, Mohammed/0000-0002-8677-9240
dc.contributor.authorZafar, Zain Ul Abadin
dc.contributor.authorKhan, Muhammad Altaf
dc.contributor.authorInc, Mustafa
dc.contributor.authorAkgul, Ali
dc.contributor.authorAsiri, Mohammed
dc.contributor.authorRiaz, Muhammad Bilal
dc.date.accessioned2024-12-24T19:27:13Z
dc.date.available2024-12-24T19:27:13Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractWe present a new mathematical model to analyze the dynamics of the Zika virus (ZV) disease with the mutant under the real confirmed cases in Colombia. We give the formulation of the model initially in integer order derivative and then extend it to a fractional order system in the sense of the Mittag-Leffler kernel. We study the properties of the model in the Mittag-Leffler kernel and establish the result. The basic reproduction of the fractional system is computed. The equilibrium points of the Zika virus model are obtained and found that the endemic equilibria exist when the threshold is greater than unity. Further, we show that the model does not possess the backward bifurcation phenomenon. The numerical procedure to solve the problem using the Atangana-Baleanu derivative is shown using the newly established numerical scheme. We consider the real cases of the Zika virus in Colombia outbreak are considered and simulate the model using the nonlinear least square curve fit and computed the basic reproduction number R0= 0.4942, whereas in previous work (Alzahrani et al., 2021) [1], the authors computed the basic reproduction number R0 = 0.5447. This is due to the fact that our work in the present paper provides better fitting to the data when using the fractional order model, and indeed the result regarding the data fitting using the fractional model is better than integer order model. We give a sensitivity analysis of the parameters involved in the basic reproduction number and show them graphically. The results obtained through the present numerical method converge to its equilibrium for the fractional order, indicating the proposed scheme's reliability.
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [RGP2/314/44]
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Large Groups project under grant number RGP2/314/44.
dc.identifier.doi10.1016/j.heliyon.2023.e23390
dc.identifier.issn2405-8440
dc.identifier.issue1
dc.identifier.pmid38187345
dc.identifier.scopus2-s2.0-85179989172
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.heliyon.2023.e23390
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6529
dc.identifier.volume10
dc.identifier.wosWOS:001138245700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherCell Press
dc.relation.ispartofHeliyon
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectZika model with mutant
dc.subjectAB operator
dc.subjectSimulation results
dc.subjectExistence and uniqueness
dc.subjectSensitivity analysis
dc.titleThe analysis of a new fractional model to the Zika virus infection with mutant
dc.typeArticle

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