Global Dynamics of an SIRS Epidemic Model with Distributed Delay on Heterogeneous Network

Abstract EN

A novel epidemic S I R S model with distributed delay on complex network is discussed in this paper.

The formula of the basis reproductive number R 0 for the model is given, and it is proved that the disease dies out when R 0 < 1 and the disease is uniformly persistent when R 0 > 1 .

In addition, a unique endemic equilibrium for the S I R S model exists when R 0 > 1 , and a set of sufficient conditions on the global attractiveness of the endemic equilibrium for the system is given.