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A Random Graph Model For The Final-size Distribution Of Household Infections by M. N. ISLAM; C. D. O'SHAUGHNESSY; B. SMITH is a Mathematics article available to read on EtoBox.

What is A Random Graph Model For The Final-size Distribution Of Household Infections about?

In epidemiological/disease control studies, one might be interested in estimating the parameters community probability infection (CPI) and the household secondary attack rate (SAR), as introduced by Longini and Koopman. The quasi-binomial distribution I (QBD I) with parameters n, p and 0, introduced by Consul, is proposed as a model for the final-size distribution of household infections, where p (CPI) is the probability of an individual being infected from the community and O (SAR) is the rate of secondary transmission of infection within household. An individual can be infected either from within the household or from the community. Let X be the total number of infected members in a household of size n. Then the distribution of X is given by the QBD I with the probability mass function: ## P ( X = X; n, p, 0) = p ( p + xOy-'(1p -X e y , x = 0,1, ... ,n (: > with 0 c p < 1,O 2 0 such that p + ne < 1. The epidemic model is derived from a directed random graph. Data from influenza epidemics in Asian and American households are used to test the model and a comparison is made with the Longini-Koopman model. It is shown empirically that the QBD I is as good as the L-K model in describi

Who reads A Random Graph Model For The Final-size Distribution Of Household Infections?

Author

M. N. ISLAM; C. D. O'SHAUGHNESSY; B. SMITH

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0277-6715)

Published

1996

Language

EN

Field

Mathematics (Physical Sciences)