Resumen de Diseño de políticas óptimas de vacunación en un modelo SEIR

Carlos Islas, David Vizuet, Pablo Padilla, Marco Antonio Prado, Dalila Almaguer

• We present the classical epidemiological models of Kermack and McKendrick (SIR and SEIR). A control variable corresponding to the vaccination rate is introduced. We study the controllability of the SEIR model, and the associated optimal control problem as well the effects on the populations dynamics by means of numerical simulations. In particular we show that, contrary to the standard assumption, it is not possible to control the spread of the disease by only introducing the vaccination rate for susceptible individuals. This shows that in order to prevent the increase of infected individuals it is necesary to consider other strategies, e.g. social distancing, sanitary measures.