Identifying the Capacity of a Social Network

Abstract

The diffusive logistic model of information dissemination in a social network is considered in the form of a one-dimensional nonstationary parabolic equation. The problem of parametric identification is posed as an extremum problem for searching the parameter in the form of a spatially distributed social network capacity. Gradient means of optimization are applied. The results demonstrate uniform convergence to an exact solution in the approach with a controllable descent direction.