An Informative Review Article on Mathematical Modelling for Mental Health Prediction in Youth

Pragya, Brahampal Singh

Abstract: One of the most critical public health challenges of the current decade is the deteriorating mental health of the youth, characterized by rising rates of anxiety, depression, and stress-related disorders. Accurate prediction of mental states and emotional trajectories is essential for early intervention and effective allocation of psychological resources. The application of differential equations, which model dynamic systems that change over time, offers a unique perspective on understanding the fluctuation of human emotions. By synthesizing existing theoretical frameworks, this review focuses on the intersection of differential equations and mental health forecasting. Simple mathematical formulations that capture the relationship between external stressors and internal emotional regulation are emphasized. Rather than detailing complex computational neuroscience, this paper focuses on reviewing theoretical approaches and explaining how simplified differential equation models assist in understanding long-term behavioral trends. The study highlights the relevance of mathematical modelling in psychology and demonstrates how differential equations provide a systematic framework for analyzing emotional dynamics in adolescents.

Keywords: Mental health, differential equations, mathematical modelling, youth psychology, emotional dynamics

How to Cite?: Pragya, Brahampal Singh, "An Informative Review Article on Mathematical Modelling for Mental Health Prediction in Youth", Volume 15 Issue 1, January 2026, International Journal of Science and Research (IJSR), Pages: 1657-1658, https://www.ijsr.net/getabstract.php?paperid=SR26127135807, DOI: https://dx.doi.org/10.21275/SR26127135807