An epidemiological model for HIV/AIDS with proportional recruitment
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Updated: Nov 8, 2026

Chronic, Acute, and Reactivated HIV Infection in Humanized Immunodeficient Mouse Models
Published on: December 3, 2019
X Lin1, H W Hethcote, P van den Driessche
1Department of Applied Mathematics, University of Waterloo, Ontario, Canada.
Abstract:
A model for HIV transmission is formulated for a homosexual population of varying size, with recruitment into the susceptible class proportional to the active population size and with stages of progression to AIDS. Analysis of this model includes identifying the threshold that determines whether the disease dies out or proportions remain endemic and establishing criteria that determine whether the population size decays asymptotically exponentially to zero or grows asymptotically exponentially to infinity. In an analogous heterosexual model, the conservation of heterosexual contacts is shown to imply that this two-sex model reduces to the one-sex model.
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