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Some majorization orderings of heterogeneity in a class of epidemics

Part of: Distribution theory - Probability Applications

Published online by Cambridge University Press:  14 July 2016

Y. L. Tong
Y. L. Tong*
Affiliation:
Georgia Institute of Technology
*
∗Postal address: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332–0160, USA.
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Abstract

The theory of majorization is applied to investigate the effects of heterogeneity in a class of epidemics. In particular, the heterogeneity of the components of the contact vector of a given susceptible is studied. It is shown that if the heterogeneity can be partially ordered through majorization, then the probability functions of escaping infection can be similarly ordered. The results can be applied to AIDS research on the spread of the HIV virus.

Keywords

MAJORIZATION INEQUALITIESCARRIER-BORNE MODELHETEROGENEITY IN EPIDEMICS

MSC classification

Primary: 60E15: Inequalities; stochastic orderings 62P99: None of the above, but in this section
Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 1 , March 1997 , pp. 84 - 93
Copyright
Copyright © Applied Probability Trust 1997 

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