A threshold limit theorem for the stochastic logistic epidemic
- 1 September 1998
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 35 (3) , 662-670
- https://doi.org/10.1239/jap/1032265214
Abstract
The time until extinction for the closed SIS stochastic logistic epidemic model is investigated. We derive the asymptotic distribution for the extinction time as the population grows to infinity, under different initial conditions and for different values of the infection rate.Keywords
This publication has 7 references indexed in Scilit:
- The quasi-stationary distribution of the closed endemic sis modelAdvances in Applied Probability, 1996
- On the Extinction of theS–I–Sstochastic logistic epidemicJournal of Applied Probability, 1989
- Probability Approximations via the Poisson Clumping HeuristicPublished by Springer Nature ,1989
- On conditional passage time structure of birth-death processesJournal of Applied Probability, 1984
- Markov Chain Models — Rarity and ExponentialityPublished by Springer Nature ,1979
- The duration of the closed stochastic epidemicBiometrika, 1975
- The classification of birth and death processesTransactions of the American Mathematical Society, 1957