Abstract
A mathematical model is formulated to study the effect of treatment of HIV/AIDS patients on the spread of the epidemic in a two-age group’s population. The model assumes the sexual transmission mode. A proportion ?, of the adult HIV/AIDS infects is assumed to be receiving treatment. The analysis of the model shows that treatment that is not accompanied by a positive change in social behavior will increase the number of both child and adult infections in the population. And if treatment is accompanied by a change in social behavior the epidemic could be eventually contained. The basic reproductive numbers in the case of treatment with no behavioral change and in the case treatment with behavioral change are used to make conclusions about the need to balance treatment with prevention.
Highlights
Many authors[11-21] have studied the effect of treatment of HIV/AIDS patients, the role of the HIV/AIDS at present has no cure and no vaccine as increased incubation period and behavioral change on yet
We present a numerical simulation of model, in the first case varying the proportion treated, assume effective treatment and we vary the length of the incubation period; and in both cases we shall assume no change in social behavior
Effective treatment of adult infectives: Varying levels of behavioral change: Here, we study the trend of the spread of the epidemic, in relation to effective treatment that is accompanied by objective measures geared towards changing one‘s social behavior
Summary
Many authors[11-21] have studied the effect of treatment of HIV/AIDS patients, the role of the HIV/AIDS at present has no cure and no vaccine as increased incubation period and behavioral change on yet.
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