Optimal Control for TB disease with vaccination assuming endogeneous reactivation and exogeneous reinfection

2016 International Congress on Theoretical and Applied Mathematics, Physics and Chemistry

数学;物理学;化学

Anggriani, N.^1 ; Wicaksono, B.C.^1 ; Supriatna, A.K.^1

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jl. Raya Bandung-Sumedang km 21, Jatinangor

45363, Indonesia^1

关键词: BCG vaccine;    Infectious disease;    Mycobacterium tuberculosis;    Optimal controls;    Re-infection;    Susceptible population;    World Health Organization;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/725/1/012011/pdf
DOI  :  10.1088/1742-6596/725/1/012011

来源: IOP

【 摘 要 】

Tuberculosis (TB) is one of the deadliest infectious disease in the world which caused by Mycobacterium tuberculosis. The disease is spread through the air via the droplets from the infectious persons when they are coughing. The World Health Organization (WHO) has paid a special attention to the TB by providing some solution, for example by providing BCG vaccine that prevent an infected person from becoming an active infectious TB. In this paper we develop a mathematical model of the spread of the TB which assumes endogeneous reactivation and exogeneous reinfection factors. We also assume that some of the susceptible population are vaccinated. Furthermore we investigate the optimal vaccination level for the disease.