A mathematical model describing the correlation between smokers and tuberculosis patients

Abstract

In this paper, we propose a mathematical model that describes the correlation between the spread of smoking and tuberculosis, and three control strategies that are characterised by the Pontryagin maximum principle. Simulations in Matlab show the effectiveness of the model and the control strategies we propose. Finally, in order to control both tuberculosis and tobacco use, we submit recommendations and a conclusion to the World Health Organisation.