On a Discrete-time Epidemic Model based on a Continuous-time SEIR Model Under Feedback Vaccination Controls

Abstract

This paper discusses a discrete-time epidemic model which is based on a continuous-time SEIR (susceptible-exposed-infections-recovered) one. The equilibrium points are obtained and their local stability properties are characterized in both the vaccination-free case and the vaccination control one. The vaccination control is of an additive full linear feedback-type one involving constant gains for all the subpopulations.