A two-sex model for treatment of HIV/AIDS and behaviour change in a population of varying size

In this work, we propose a model for heterosexual transmissionof HIV/AIDS incorporating a community-wide screening and treatmentprogramme. We will investigate various consistency assumptionsabout the conservation of heterosexual contacts, which willenable us to reduce this two-sex model to a simpler one-sexformulation. In all cases analytical results will be given withthreshold parameters obtained for the persistence of disease,the persistence of total populations, and the persistence ofinfective populations. By comparing the theoretical resultsfor the different variations of our model, we hope to shed somelight on the effectiveness of the prevention and control measuresthat are needed to deal with the emerging AIDS epidemic in ThirdWorld communities with growing populations.