A Consideration on a Control Method of the Injection Rate to Suppress the Infected Population on the Basis of SIR Model by Means of Numerical Simulations

Abstract

In the present work, we shall describe an optimal control scheme to suppress the infected population with a simple time-dependent SIR model. From the present numerical simulation results, it will be elucidated that there exists an optimal time to start a corresponding infection control for certain basic reproduction number and effective production number under an appropriate control duration time. Furthermore it will be found that the deviation from the optimal control results in the reduction of the depression of the infected population.