MATHEMATICAL MODEL OF INFORMATION INFLUENCE

Magomedov Kurban Akhmedovich

A mathematical model is proposed that allows one to study the dynamics of informational influence not only at a fixed point in an abstract environment, but also its distribution in an active, heterogeneous environment called social space. The social stratification of agents on various grounds characterizes the heterogeneity of the environment. The heterogeneity of the environment is modeled on the basis of rank signs of social inequality of agents: education, income, age, etc. Using the analogy method, the study of the process of information influence is replaced by the study of nonlinear heat conduction. A method for identifying a measure of distance between elements of a heterogeneous social space is proposed.

Keywords:heterogeneous social space, distribution of influence, environmental resistance, social inequality, analogy method, functional-operator approach, piecewise linear differential equations