Review of mathematical models of social processes: inverse problems and control

The article provides a review of mathematical models for social processes. Empirical research focuses mainly on measuring and analyzing network structures and data, while mathematical models focus more on understanding and predicting the mechanisms of social interactions. The paper contains search results with a brief description of the article selection process and their characteristics: 48 studies were presented in a detailed review, and 23 studies were included in this review based on neural network search. In addition, direct and inverse problems for the mean-field game model are formulated and numerically investigated in the case of stopping and stimulating the process of information dissemination in synthetic online social networks.