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A stochastic model for the HIV epidemic in homosexual populations involving age and race
Authors:W-Y Tan  Z Xiang
Institution:

Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, U.S.A.

Abstract:In this paper, we derive a stochastic model for the HIV epidemic in homosexual populations involving age and race. 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.
Keywords:Age  Chain multinomial distribution  Homosexual population  Infective stages  Low risk selection rule  Mixing probability  Probability of HIV transmission  Race
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