Exponential stability of a SIQR Epidemic Model with Quarantine and Vaccination

摘要

A SIQR epidemic model with quarantine , vaccination and permanent immunity is discussed by using analytic technique in this paper, the threshold to the existence of various equilibriums are established. When the threshold is less than one, the disease-free equilibrium is local exponential asymptotically stable.when the threshold is bigger than one and with some conditions, the endemic equilibrium is local exponential asymptotically stable.