Federal Research Institute for Health Organization and Informatics of Ministry of Health of the Russian Federation

cnosova@gmail.com

Abstract. The main directions of the development of mathematical modeling for control and spread of HIV are considered. The main approach to describe the epidemics of HIV-infection is population modelling. Depending on the avialable data and tasks the spread of the virus is described in terms of deterministic or stochastic process. With the help of mathematical models the problem of immunological control for HIV-infection, natural history and its role in epidemics of HIV-infection, spread of HIV in heterogeneous populations, economic consequences of epidemics are described. Mathematical modeling is also used in development of HIV vaccines.
Most of considered models describing epidemiology of HIV-infection are solving partial tasks connected with particular measures for counteraction of HIV spread in certain territory. Usage of data from other territories gives doubtful results.

Key words: HIV, mathematical models, social maladjustment.