Modeling the Effects of Vaccination and Treatment on Tuberculosis Transmission Dynamics
Joint Authors
Kelemu Mengistu, Ashenafi
Witbooi, Peter J.
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Kelemu Mengistu, Ashenafi& Witbooi, Peter J.. 2019. Modeling the Effects of Vaccination and Treatment on Tuberculosis Transmission Dynamics. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1168919
Modern Language Association (MLA)
Kelemu Mengistu, Ashenafi& Witbooi, Peter J.. Modeling the Effects of Vaccination and Treatment on Tuberculosis Transmission Dynamics. Journal of Applied Mathematics No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1168919
American Medical Association (AMA)
Kelemu Mengistu, Ashenafi& Witbooi, Peter J.. Modeling the Effects of Vaccination and Treatment on Tuberculosis Transmission Dynamics. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1168919
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168919