On the Extinction of theS–I–Sstochastic logistic epidemic
- 1 December 1989
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 26 (4) , 685-694
- https://doi.org/10.2307/3214374
Abstract
We obtain an approximation to the mean time to extinction and to the quasi-stationary distribution for the standardS–I–Sepidemic model introduced by Weiss and Dishon (1971). These results are a combination and extension of the results of Norden (1982) for the stochastic logistic model, Oppenheim et al. (1977) for a model on chemical reactions, Cavender (1978) for the birth-and-death processes and Bartholomew (1976) for social diffusion processes.Keywords
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