Analysing of Tuberculosis in Turkey through SIR, SEIR and BSEIR Mathematical Models

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dc.authorscopusid57222568431
dc.authorscopusid57210645950
dc.authorscopusid36442833800
dc.contributor.authorUçakan, Yasin
dc.contributor.authorGülen, Seda
dc.contributor.authorKöklü, Kevser
dc.date.accessioned2022-05-11T14:04:42Z
dc.date.available2022-05-11T14:04:42Z
dc.date.issued2021
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractSince mathematical models play a key role in investigating the dynamics of infectious diseases, many mathematical models for these diseases are developed. In this paper, it is aimed to determine the dynamics of Tuberculosis (TB) in Turkey, how much it will affect the future and the impact of vaccine therapy on the disease. For this purpose, three mathematical models (SIR, SEIR and BSEIR) in the literature are considered for the case of Turkey. The model parameters are obtained with TB reported data from 2005 to 2015 by using the least square method. The obtained results revealed that the basic reproduction ratio for all three models is less than 1. Moreover, the stability analysis of the models and sensitivity analysis of the model parameters are presented and discussed. Finally, the accuracy of results for all three models is compared and the effect of the vaccination rate is discussed. © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.
dc.identifier.doi10.1080/13873954.2021.1881560
dc.identifier.endpage202
dc.identifier.issn1387-3954
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85103294372
dc.identifier.scopusqualityQ3
dc.identifier.startpage179
dc.identifier.urihttps://doi.org/10.1080/13873954.2021.1881560
dc.identifier.urihttps://hdl.handle.net/20.500.11776/4721
dc.identifier.volume27
dc.identifier.wosWOS:000632668400001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorGülen, Seda
dc.language.isoen
dc.publisherTaylor and Francis Ltd.
dc.relation.ispartofMathematical and Computer Modelling of Dynamical Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectbasic reproduction number
dc.subjectEpidemic model
dc.subjectinfectious disease
dc.subjecttuberculosis
dc.subjectvaccination
dc.subjectCell proliferation
dc.subjectDisease control
dc.subjectDiseases
dc.subjectLeast squares approximations
dc.subjectVaccines
dc.subjectBasic reproduction ratios
dc.subjectInfectious disease
dc.subjectLeast square methods
dc.subjectModel parameters
dc.subjectStability analysis
dc.subjectThree models
dc.subjectSensitivity analysis
dc.titleAnalysing of Tuberculosis in Turkey through SIR, SEIR and BSEIR Mathematical Models
dc.typeArticle

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