Analysing of Tuberculosis in Turkey through SIR, SEIR and BSEIR Mathematical Models
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Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor and Francis Ltd.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Since 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.
Açıklama
Anahtar Kelimeler
basic reproduction number, Epidemic model, infectious disease, tuberculosis, vaccination, Cell proliferation, Disease control, Diseases, Least squares approximations, Vaccines, Basic reproduction ratios, Infectious disease, Least square methods, Model parameters, Stability analysis, Three models, Sensitivity analysis
Kaynak
Mathematical and Computer Modelling of Dynamical Systems
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
27
Sayı
1