On the quasi-stationary distribution of the stochastic logistic epidemic (Q1807237)
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scientific article; zbMATH DE number 1359698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the quasi-stationary distribution of the stochastic logistic epidemic |
scientific article; zbMATH DE number 1359698 |
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On the quasi-stationary distribution of the stochastic logistic epidemic (English)
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14 February 2001
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The author examines the detailed behaviour of the distribution of the time to extinction and of the quasi-stationary distribution of a stochastic SIS epidemic, for values of the threshold parameter \(R_0\) which are close to 1: \(R_0=1 +\rho N^{-1/2}\), where \(N\) is the population size. The approximations obtained, for \(N=1000\) and \(|\rho |<3\), are pleasingly accurate. The arguments are largely analytic, being based on the known recurrence formulae for birth and death processes.
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