[Mathematical modelling of drug addiction]

To describe and assess the phenomenon of drug addiction by the use of a system of linear differential equations.

For analytical purposes, the study population (1020 individuals) was divided into three groups: likely to use drugs, drug users, and recovered (S-D model).

The number of individuals likely to use drugs decreases with the increase in the number of infected ones; thus, in about 10 days, the number of infected individuals matches the number of those likely to use drugs. If the global parameters of the study model are changed, a more rapid increase in the number of infected individuals is noticed. Also noticed is the fact that the number of recoveries is likely to decrease with the increase in the number of infected individuals.

Although numerical techniques are often preferable, the analytical ones have some advantages. Thus, an analytical approach may provide a deeper understanding of the mechanism of a given phenomenon, so it is more convenient to describe the state variables in terms of parameters than in terms of numerical approximation. To assess to role of hazard and uncertain associations in the future statistical methods will be used.