Global Dynamics of an SIQR Epidemic Model with Quarantine Strategy and Time Delay

In this paper, Global dynamics of an SIQR epidemic model with quarantine strategy and delay was studied. On the basis of the SIQR epidemic model which completely determines the global dynamics and results of disease was given in [1], considering the latency of the disease and introducing discrete time-delay, we established the new dynamic model with time delays describing epidemic. The basic reproduction number R0 which completely determines the global dynamics and results of disease was solved in this paper. We give a qualitative analysis of this model and reveal the inherent rule of infectious diseases.