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2019 Modeling the Effects of Vaccination and Treatment on Tuberculosis Transmission Dynamics
Ashenafi Kelemu Mengistu, Peter J. Witbooi
J. Appl. Math. 2019: 1-9 (2019). DOI: 10.1155/2019/7463167

Abstract

In this study, we develop and analyze a deterministic mathematical model for tuberculosis (TB) transmission dynamics. The model includes vaccination for newborns and treatment for both high-risk latent and active TB patients. The stability of disease-free equilibrium point is discussed in detail. In the numerical simulation, the model parameters are estimated using reported TB incidence data in Ethiopia from the years 2003 to 2017, and R 0 is calculated as R 0 2.13 . Finally, the sensitivity indices of R 0 with respect to the model parameters are performed, and their corresponding graphical results are presented. Our results quantify the positive influence of vaccination and the treatment for high-risk latent and active TB patients on the control of tuberculosis.

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Ashenafi Kelemu Mengistu. Peter J. Witbooi. "Modeling the Effects of Vaccination and Treatment on Tuberculosis Transmission Dynamics." J. Appl. Math. 2019 1 - 9, 2019. https://doi.org/10.1155/2019/7463167

Information

Received: 18 June 2019; Revised: 31 August 2019; Accepted: 1 October 2019; Published: 2019
First available in Project Euclid: 23 May 2020

zbMATH: 07165629
MathSciNet: MR4047609
Digital Object Identifier: 10.1155/2019/7463167

Rights: Copyright © 2019 Hindawi

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