A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION

摘要

Saturating contact rate of individual contacts is crucial in an epidemiology model. A mathematical SIR model with saturation incidence and age of infection is formulated in this paper. In addition, we study the dynamical behavior of this model and define the basic reproductive number R_0. The authors also prove that the diseased-free equilibrium is globally asymptotically stable if R_0 < 1. The endemic equilibrium is locally asymptotically stable if K_1 > α and R_0 > 1.