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

A novel epidemic model with distributed delay on complex network is discussed in this paper. The formula of the basis reproductive number for the model is given, and it is proved that the disease dies out when and the disease is uniformly persistent when . In addition, a unique endemic equilibrium for the model exists when , and a set of sufficient conditions on the global attractiveness of the endemic equilibrium for the system is given.

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