Work

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

Year: 2026

Type: article

Abstract: 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.

Source: Social Network Analysis and Mining

DOI: 10.1007/s13278-026-01590-8

Authors: Tatiana Zvonareva, Olga Krivorotko

Institution: Sirius University of Science and Technology

Language: English

Topic: Complex Network Analysis Techniques

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Sirius University of Science and Technology