A note on chain-binomial models of epidemic spread: What is wrong with the Reed-Frost formulation?
type: Item
instance of: scholarly article
title: A note on chain-binomial models of epidemic spread: What is wrong with the Reed-Frost formulation?
zbMATH Open document ID: 0627.92015
DOI: 10.1016/0025-5564(87)90034-4
author: John A. Jacquez
published in: Mathematical Biosciences
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/2027.42/26512
review text: Derivations of the Reed-Frost model are analyzed in terms of the assumptions about the probabilistic process used and in terms of internal consistency. Internally consistent derivations can be exhibited but require assumptions about the basic probabilistic process that are clearly unreasonable. A properly posed, more general model is derivable through the use of \textit{P. D. En'ko}'s model (1889) and the generating function for the number of contacts per person [see \textit{K. Dietz} and \textit{D. Schenzle}, A celebration of statistics, The ISI Centen. Vol. 167- 204 (1985; Zbl 0586.92017)].
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 4020904
zbMATH Keywords: chain-binomial models of epidemic spread
zbMATH Keywords: Reed-Frost model
zbMATH Keywords: internal consistency
zbMATH Keywords: generating function for the number of contacts per person
MaRDI profile type: Publication
OpenAlex ID: W2067268186
cites work: The Epidemic Curve
cites work: Q3713901
cites work: Q5724331
description: scientific article; zbMATH DE number 4020904