The maximum size of a closed epidemic-Reference-Cited by-同舟云学术

The maximum size of a closed epidemic

Published:1974-12 Issue:4 Volume:6 Page:607-621
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Daniels H. E.

Abstract

An approximation is found to the distribution of the maximum number of infectives present at any time during the course of a closed epidemic. The technique used is applicable to a commonly occurring type of random walk problem where there is a curved absorbing boundary which is far from the mean path except over a narrow range.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference9 articles.

1. The Asymptotic Analysis of a Stochastic Model of an Epidemic

2. The Poisson process with a curved absorbing boundary;Daniels;Bull. Inst. Internat. Statist. 34th Session,1963

3. Limit theorems for random walks with boundaries;Borovkov;Proc. Sixth Berkeley Symposium,1972

4. The distribution of the total size of an epidemic;Daniels;Proc. Fifth Berkeley Symposium,1967

5. The discussion in Daniels (1945) is not adequate in this respect.

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