Global properties of a delayed SIR epidemic model with nonlinear incidence rate

摘要

A vector disease model of SIR type with incubation time and nonlinear incidence rate is investigated, where the force of infection is a power function of density of susceptible individuals. The basic reproductive number R0 determining whether the disease dies out is given. The global properties of the considered models is studied, there is always a globally asymptotically stable equilibrium state. Depending on the value of Ro, this state can be either disease-free situation (Ro<1) or epidemic (Ro>1).