On the extinction of the S-I-S stochastic logistic epidemic

The authors obtain an approximation to the mean time to extinction and to the quasi-stationary distribution for the standard S-I-S epidemic model introduced by Weiss and Dishon. These results are a combination and extension of the results of Norden for the stochastic logistic model, Oppenheim et al. for a model on chemical reactions, Cavender for the birth-and-death processes and Bartholomew for social diffusion processes.