Fixed/free final time SIR epidemic models with multiple controls

In this paper the possible advantages in introducing multiple controls in the analysis of epidemic models are investigated. Usually, only the susceptible or infected people are controlled by vaccination or by quarantine and/or medicine treatment; in this paper multiple controls, both for the susceptible and infected are considered. The problem is studied both in the case of fixed and free final time. Numerical results are considered for simulated data showing the effects of multiple controls and the rule of each parameters of the model. Also a simulation on real data regarding the course of measles in Africa is presented.