A Discrete-Time SIQR Epidemic Model with Non Linear Incidence Rate

In this paper, we propose a discrete-time SIQR epidemic model with a non linear incidence rate, disease caused death and a varying total population size. We derive the Basic reproduction number of the model. The disease-free equilibrium and the endemic equilibrium of the model are studied as well. It is shown that the disease-free equilibrium is locally and globally asymptotically stable under certain conditions. Moreover, we also show that there is an unique endemic equilibrium of the system which is locally and globally asymptotically stable.