title: Analysis of a risk-based model for the growth of AIDS infection.
abstract: Several models for the spread of AIDS within a homosexual community have been proposed that incorporate biased mixing of different risk groups. A simple model is presented that captures many of the features of these more complex models. Analytical expressions are derived for the time to the state of maximum infection (SMI) in a particular risk group, the proportion infected at SMI, and the number of infected individuals as the group approaches SMI. These results agree qualitatively with numerical simulations of the model.
authors.affiliation: Institute of Theoretical Dynamics, University of California, Davis 95616.
authors.forename: G
authors.initials: G
authors.lastname: De Young
authors.forename: P K
authors.initials: PK
authors.lastname: Maini
authors.forename: M
authors.initials: M
authors.lastname: Nakamaye
mesh_terms: D000163:Acquired Immunodeficiency Syndrome / Q000453:epidemiology* / Q000635:transmission; D006716:Homosexuality; D006801:Humans; D008297:Male; D008433:Mathematics; D015233:Models, Statistical; D012307:Risk Factors; D013997:Time Factors