ON MATHEMATICAL MODEL OF THE IMPACT OF HETEROSEXUAL USE OF CONDOM AND ANTIRETROVIRAL THERAPY FOR THE PREVENTION OF HIV/AIDS EPIDEMIC B. Bassey Echeng, K. A. Lebedev ɎȽȻɈɍȼɉɈ «Kuban State University» Krasnodar, Russia (350040, Krasnodar, 149, Ctavrapolskaya street), e-mail: awaserex@yandex.com, klebedev.ya@yandex.ru ABSTRACT Persistent condom use and significant adherent to antiretroviral therapy (ART) by heterosexual population is of paramount importance in the prevention and control of human immune deficiency virus (HIV) and acquired immune deficiency syndrome (AIDS). Using mathematical model, this paper proposed and studied the dynamics of the impacts of heterosexual use of condom in the presence of ART for the prevention and control of the spread of HIV/AIDS. Here, we incorporate in the existing model by Bassey and Lebedev (2015b), the use of two treatment factors (condom use and ART) by two sex population (susceptible and infected male and female population). This leads to a set of 8 nonlinear differential equations in 8 different groups of the population. The model as well, took into account, the natural birth rate of the population and focuses on the impact of bi- therapeutic treatment of HIV/AIDS epidemic and the outcome of possible variations following the application of treatment factors by both male and female population. We saw in our experiment, the inter-dependency of model parameters such as proportions of susceptible and infected populations with treatment factors and the rate of contacts by sexual partners. The result indicates that a lopsided prevention measures have low significant impact in the eradication program. Furthermore, the interactions of model parameters show that a cogent heterosexual use of condom in the presence of high significant adherent to ART in an equiprobable manner, leads to prolong lifespan, rapid reduction and possible eradication of HIV/AIDS in a finite time.