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

[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.

[发布机构] Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jl. Raya Bandung-Sumedang km 21, Jatinangor; 45363, Indonesia^1

[效力级别] 物理学

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