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<p>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.</p>

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

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年3月16日

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  • Tatiana Zvonareva,
  • Olga Krivorotko

摘要

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.