A note on the total size distribution of epidemic models-Reference-Cited by-同舟云学术

A note on the total size distribution of epidemic models

Published:1986-09 Issue:3 Volume:23 Page:832-836
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Ball Frank

Abstract

A simple coupling argument is used to obtain a new proof of a result of Daniels (1967) concerning the total size distribution of the general stochastic epidemic. The proof admits a straightforward generalisation to multipopulation epidemics and indicates that similar results are unlikely to be available for epidemics with non-exponential infectious periods.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference11 articles.

1. Epidemics in competition II: The general epidemic;Kendall;J. R. Statist. Soc.,1983

2. Threshold limit theorems for some epidemic processes

3. A note on Bailey's and Whittle's treatment of a general stochastic epidemic;Foster;Biometrika,1955

4. The distribution of the total size of an epidemic;Daniels;Proc. 5th Berkeley Symp. Math. Statist. Prob.,1967

5. The threshold behaviour of epidemic models

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stochastic epidemic models with a backward bifurcation;Mathematical Biosciences and Engineering;2006

2. Maximal Prevalence and the Basic Reproduction Number in Simple Epidemics;Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory;2002

3. A threshold theorem for the general stochastic epidemic via a discrete approach;Statistics & Probability Letters;1992-05

4. A note on the total size distribution of carrier-borne epidemic models;Journal of Applied Probability;1990-12

5. A note on the total size distribution of carrier-borne epidemic models;Journal of Applied Probability;1990-12