Control of a S-I-R Epidemiological Model

This paper addresses the control of a S-I-R epidemiological model. Two objectives are considered, the control of the level of infection, and the maximization of the number of susceptible individuals counted at the end of the pandemic. The properties and structure of the S-I-R model, and the fact that vaccination is not available, are explored to devise a control strategy. A nonlinear control strategy is proposed that solves the problem considered.