Abstract. With the promotion and application of big data, mathematical models are also more widely referenced in the research and development of different professions. In this paper, the relationship between mathematical modeling and social sciences will be explored by examining the application of mathematical modeling in social sciences through quantitative analysis. In addition, the author is willing to learn about different models related to economics, psychology, and sociology. Based on the analysis, this paper provides relevant suggestions for solving potential problems in the application of models, including, that attention should be paid to the description of contextual details, that the results of the study should take into account motivational factors, and that the data involved must be valid and not too superficial.