A DETERMINISTIC EPIDEMIC MODEL TAKING ACCOUNT OF REPEATED CONTACTS BETWEEN THE SAME INDIVIDUALS

Authors
DIEKMANN O DEJONG MCM METZ JAJ
Citation
O. Diekmann et al., A DETERMINISTIC EPIDEMIC MODEL TAKING ACCOUNT OF REPEATED CONTACTS BETWEEN THE SAME INDIVIDUALS, Journal of Applied Probability, 35(2), 1998, pp. 448-462
Citations number
18
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Applied Probability → ACNP
ISSN journal
00219002
Volume
35
Issue
2
Year of publication
1998
Pages
448 - 462
Database
ISI
SICI code
0021-9002(1998)35:2<448:ADEMTA>2.0.ZU;2-1
Abstract
We introduce a certain population contact structure and derive, in thr ee different ways, the final size equation for a quite general superim posed epidemic process. The contact structure is characterized by the following two properties: (i) each individual contacts exactly k other individuals; (ii) these k acquaintances are a random sample of the (i nfinite) population.