SOME MAJORIZATION ORDERINGS OF HETEROGENEITY IN A CLASS OF EPIDEMICS

Authors
TONG YL
Citation
Yl. Tong, SOME MAJORIZATION ORDERINGS OF HETEROGENEITY IN A CLASS OF EPIDEMICS, Journal of Applied Probability, 34(1), 1997, pp. 84-93
Citations number
13
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Applied Probability → ACNP
ISSN journal
00219002
Volume
34
Issue
1
Year of publication
1997
Pages
84 - 93
Database
ISI
SICI code
0021-9002(1997)34:1<84:SMOOHI>2.0.ZU;2-L
Abstract
The theory of majorization is applied to investigate the effects of he terogeneity in a class of epidemics. In particular, the heterogeneity of the components of the contact vector of a given susceptible is stud ied. It is shown that if the heterogeneity can be partially ordered th rough majorization, then the probability functions of escaping infecti on can be similarly ordered. The results can be applied to AIDS resear ch on the spread of the HIV virus.