title: A stochastic model of the HIV epidemic and the HIV infection distribution in a homosexual population.
abstract: In this paper we develop a stochastic model for the HIV epidemic in a homosexual population and use the model to characterize the HIV infection distribution and seroconversion distribution. Through computer-generated infection distributions and seroconversion distributions, we assess the effects of various risk factors on these distributions. The fitting of some data sets generated by computer suggests that the three-parameter generalized log-logistic distribution should be assumed as the infection distribution for the proposed stochastic model of HIV epidemics.
authors.affiliation: Department of Mathematical Sciences, Memphis State University, Tennessee.
authors.forename: W Y
authors.initials: WY
authors.lastname: Tan
authors.forename: R H
authors.initials: RH
authors.lastname: Byers
mesh_terms: D004196:Disease Outbreaks; D015658:HIV Infections / Q000453:epidemiology* / Q000635:transmission; D006716:Homosexuality; D006801:Humans; D008297:Male; D008954:Models, Biological; D013269:Stochastic Processes