On minimum time equilibrium targeting in epidemic diseases

This paper presents a time-optimal vaccination control strategy for epidemic models. A minimum time vaccination control is generated from an "a priori" constant value plus an incremental value obtained from the minimization of the Hamiltonian associated with a minimum time loss function. The targeted state final value is defined as a certain accuracy closed ball around some point being a reasonable approximate measure of both disease-free equilibrium points associated with the two vaccination levels used for the optimal- time control.