Special Session 16: Optimal control and its applications
Contents
In this paper we investigated a SIR type epidemic model in which education campaign and treatment are both important for the disease management. Optimal control theory was used on the system of differential equations to achieve the goal of minimizing the infected population and slow down the epidemic outbreak. We did the stability analysis of the system and determined the basic reproduction number. The optimality system was solved numerically using the forward-backward sweep method and the corresponding results were presented with interpretation and comments.