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Erschienen in:
1996 | OriginalPaper | Buchkapitel
An Algorithmic Study of S-I-R Stochastic Epidemic Models
verfasst von : Marcel F. Neuts, Jian Min Li
Erschienen in: Athens Conference on Applied Probability and Time Series Analysis
Verlag: Springer New York
Enthalten in: Professional Book Archive
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Algorithms for the S-I-R epidemic with an initial population with m infectives and n susceptibles are examined. We propose efficient algorithms for the distributions of the total and the maximum size of the epidemic, and for the joint distribution of the maximum and the time of its occurrence. We also discuss the joint distribution of the sizes of the epidemic at two epochs. By studying the Markov chain describing an indefinite replication of the epidemic, we obtain new descriptors of the process of infections.