A stochastic model for the HIV epidemic in homosexual populations involving age and race
type: Item
instance of: scholarly article
title: A stochastic model for the HIV epidemic in homosexual populations involving age and race
zbMATH Open document ID: 0884.92027
DOI: 10.1016/S0895-7177(96)00179-3
author: J. Ning
published in: Mathematical and Computer Modelling
publication date: 1998-03-18T00:00:00Z
review text: To understand and to help control the HIV epidemic, many stochastic models for the HIV epidemic in homosexual populations have been developed. However, none of the stochastic models in the literature have ever attempted to take into account effects of many important demographic variables such as age and race. On the other hand, many epidemiological data have shown clearly that age and race have a significant impact on the HIV epidemic; see, for example, the June 1993 surveillance report by CDC. In order to assess effects of age and race on the behavior of the HIV epidemic, we proceed to develop a stochastic model for the HIV epidemic in homosexual populations by taking into account age and race, as well as many other important biological, epidemiological, and clinical features of the HIV epidemic. To account for effects of different mixing patterns, a low risk selection rule is introduced. The model is then formulated in terms of chain multinomial distributions by means of which the means are derived. Some simulation studies by computer indicate clearly that age and race have a significant impact on the HIV epidemic.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 65C20
Mathematics Subject Classification ID: 60J99
Mathematics Subject Classification ID: 60K99
zbMATH DE Number: 1079025
zbMATH Keywords: infective stages
zbMATH Keywords: mixing probability
zbMATH Keywords: probability of HIV transmission
zbMATH Keywords: homosexual populations
zbMATH Keywords: age
zbMATH Keywords: race
zbMATH Keywords: low risk selection rule
zbMATH Keywords: chain multinomial distributions
MaRDI profile type: Publication
cites work: Q3356146
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full work available at URL: s0895-7177(96)00179-3
OpenAlex ID: W1998922651
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description: scientific article; zbMATH DE number 1079025