Global Stability Analysis for SIQR Model in Epidemiology with Nonlinear Incidence Rate

摘要

Stability of an epidemic model SIQR with isolation and nonlinear infectious rate is analyzed in this paper. Derived is a threshold value R0 which determines the existence of the infectious disease. With the help of Lyapunov function and higher-dimensional nonlinear autonomous systems theory > we have proved that disease free- and endemic equilibrium point is globally stable.