MATHEMATICAL MODELING OF EPIDEMIOLOGICAL AND BIOLOGICAL HIV INFECTION PROCESSES

In this paper analyzed the publications of international databases HighWire, PubMed, Google Scholar in the period 1981–2016 years. Proposed an original classification models. All the basic mathematical models developed for the human immunodeficiency virus are categorized into 2 levels: organism and population. The organism level is divided into models of virus and human interaction (HIV replication, study of the kinetics of viral population in the development of the disease, the molecular mechanisms of inte- raction with immune cells) and models of the inhibitory effect of anti-retroviral drugs (simulations of different therapeutic schemes, the development of resistance mutations HIV in cell reservoirs, treatment as a preventive measure). The population level can be divided into models of spread of HIV in a population (the circulation of different genotypes of HIV, the analysis of human population structure by age, sex and risk of contingent and trends in different geographical areas, the study of factors contributing to the spread of HIV infection) and management models, making the most effective use of health care system resources for the counteract the epidemic (preventive work analysis, evaluation of the economic costs of screening, therapeutic activities, forecasting the socio-eco- nomic impact). The authors consider the most significant achievements of each of these groups, and highlight unresolved problems

HIV infection, infection process, epidemic process, mathematical model, economic model, prognosis, management.

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