A nonlinear SEIR epidemic model with feedback vaccination control

Abstract

A mathematical model describing a generic disease is introduced and the dynamics of the subpopulations are studied. Through linearization of the continuous-time model, the stability of the equilibrium points and the characteristics of the disease are defined properly. Due to the nature of the disease, the model is discretized in order to apply some adaptive vaccination strategies involving feedback loops. Furthermore, such techniques are compared to the traditional regular-vaccination strategies. The obtained results indicate a possible improvement in the use of the adaptive strategies for vaccination.