A mathematical analysis and simulation for Zika virus model with time fractional derivative

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dc.authoridSaleem, Prof. Dr. Muhammad Umer/0000-0002-2263-3373
dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorAkgul, Ali
dc.contributor.authorSaleem, Muhammad Umer
dc.contributor.authorRizwan, Muhammad
dc.contributor.authorAhmad, Muhammad Ozair
dc.date.accessioned2024-12-24T19:24:13Z
dc.date.available2024-12-24T19:24:13Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractZika is a flavivirus that is transmitted to humans either through the bites of infected Aedes mosquitoes or through sexual transmission. Zika has been associated with congenital anomalies, like microcephalus. We developed and analyzed the fractional-order Zika virus model in this paper, considering the vector transmission route with human influence. The model consists of four compartments: susceptible individuals arex(1)(t), infected individuals arex(2)(t),x(3)(t)shows susceptible mosquitos, andx(4)(t)shows the infected mosquitos. The fractional parameter is used to develop the system of complex nonlinear differential equations by using Caputo and Atangana-Baleanu derivative. The stability analysis as well as qualitative analysis of the fractional-order model has been made and verify the non-negative unique solution. Finally, numerical simulations of the model with Caputo and Atangana Baleanu are discussed to present the graphical results for different fractional-order values as well as for the classical model. A comparison has been made to check the accuracy and effectiveness of the developed technique for our obtained results. This investigative research leads to the latest information sector included in the evolution of the Zika virus with the application of fractional analysis in population dynamics.
dc.identifier.doi10.1002/mma.6891
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.scopus2-s2.0-85091030820
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1002/mma.6891
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5904
dc.identifier.wosWOS:000569071700001
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 model
dc.subjectfractional derivative
dc.subjectLADM
dc.subjectstability analysis
dc.subjectZika virus
dc.titleA mathematical analysis and simulation for Zika virus model with time fractional derivative
dc.typeArticle

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