Yh. Hsieh, A 2-SEX MODEL FOR TREATMENT OF HIV AIDS AND BEHAVIOR-CHANGE IN A POPULATION OF VARYING SIZE/, IMA journal of mathematics applied in medicine and biology, 13(3), 1996, pp. 151-173
In this work, we propose a model for heterosexual transmission of HIV/
AIDS incorporating a community-wide screening and treatment programme.
We will investigate various consistency assumptions about the conserv
ation of heterosexual contacts, which will enable us to reduce this tw
o-sex model to a simpler one-sex formulation. In all cases analytical
results will be given with threshold parameters obtained for the persi
stence of disease, the persistence of total populations, and the persi
stence of infective populations. By comparing the theoretical results
for the different variations of our model, we hope to shed some light
on the effectiveness of the prevention and control measures that are n
eeded to deal with the emerging AIDS epidemic in Third World communiti
es with growing populations.