首页|Modeling the Effects of Vaccination and Treatment on Tuberculosis Transmission Dynamics
Modeling the Effects of Vaccination and Treatment on Tuberculosis Transmission Dynamics
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Hindawi Publishing Group
In this study, we develop and analyze a deterministic mathematical model for tuberculosis (TB) transmission dynamics. ?e model includes vaccination for newborns and treatment for both high-risk latent and active TB patients. ?e 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 in?uence of vaccination and the treatment for high-risk latent and active TB patients on the control of tuberculosis.
ModelingEffects of VaccinationTuberculosis Transmission Dynamics
Ashenafi Kelemu Mengistu、Peter J. Witbooi
展开 >
Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, South Africa
NSTL
Hindawi Publishing Group
