Equations of the heart modeling romantic attraction

Abstract

This article presents a mathematical model that focuses on the dynamics of romantic attraction and aims to stimulate interest in the areas of differential equations and mathematical modeling. Aimed at mathematicians, scientists and university students interested in differential equations, the study offers new insights into the complex dynamics of romantic relationships from a mathematical perspective and challenges conventional ideas about attraction and commitment. We introduce the notion of differential equations to capture the evolution of romantic attachments over time and conducting mathematical analysis and computer simulations. The outcomes indicate that employing mathematical models can offer a more profound understanding of human behavior and encourage interdisciplinary collaboration in education and ongoing research where mathematics and social sciences intersect. This perspective enriches understanding of romantic relationships and stimulates thought about broader applications in various real-world contexts. Further exploration is needed to refine the mathematical model and explore its practical applications in real-world contexts.