A general solution for the epidemic with carriers
type: Item
instance of: scholarly article
title: A general solution for the epidemic with carriers
zbMATH Open document ID: 0595.92008
DOI: 10.1016/0167-7152(86)90031-3
author: B. George
published in: Statistics \& Probability Letters
publication date: 1986-01-01T00:00:00Z
review text: The authors consider a Markovian model for the closed carrier-borne epidemic, which generalizes the model proposed by \textit{G. H. Weiss}, Biometrics 21, 481-490 (1965), in that the infection rate may be an arbitrary function of the numbers of susceptibles and carriers. Using matrix-geometric methods, an explicit recursion formula is obtained for the Laplace transforms of the transition probabilities. As an application, Weiss' formula for the extinction probabilities in his model is derived.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 3959185
zbMATH Keywords: survival probabilities
zbMATH Keywords: Kolmogorov equations
zbMATH Keywords: closed carrier-borne epidemic
zbMATH Keywords: matrix-geometric methods
zbMATH Keywords: explicit recursion formula
zbMATH Keywords: Laplace transforms of the transition probabilities
zbMATH Keywords: extinction probabilities
reviewed by: A. D. Barbour
MaRDI profile type: Publication
full work available at URL: 0167-7152(86)90031-3
OpenAlex ID: W1975594550
cites work: Q5724331
cites work: On the model of Weiss for the spread of epidemics by carriers
cites work: Epidemics with carriers: A note on a paper of Dietz
cites work: Q3751430
description: scientific article; zbMATH DE number 3959185