Global dynamics of an \textit{SIRS} epidemic model with distributed delay on heterogeneous network (Q1992975)

Summary: 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.