Analysis of Dynamical Behaviors for a Delayed Sis Epidemic Model With Incubation Period

Abstract

Abstract:In this paper, we present a new epidemic spreading SIS model with time delays on scale-free networks. We give formula of the basic reproductive number R 0 for the model. The global asymptotic stability of a disease-free equilibrium when R 0 < 1 and the uniformly persistent of disease when R 0 > 1 are proved. Numerical simulations are given to demonstrate the main results.