Analyzing the love affair of Romeo and Juliet with modern mathematical tools

TL;DR

This paper humorously models Romeo and Juliet's relationship using differential equations and modern social factors to analyze stability under various hypothetical scenarios.

Contribution

It introduces a novel mathematical model applying differential equations to a literary romance, incorporating modern social dynamics.

Findings

Eigenvalue analysis reveals stability conditions of the relationship model.

Different hypothetical scenarios show varying stability outcomes.

The approach demonstrates how mathematical tools can humorously interpret literary themes.

Abstract

We facetiously suggest that the romance between Romeo and Juliet can be interpreted using modern terminology and include current temptations. Using this model, we consider various factors such as the time that they might spend consulting social networks, the time that they could spend alone together and along with friends as well as their tolerance of being able to waste the couple's money. The model consists of a set of differential equations which describes the relationship between them. Finally, we analyze the eigenvalues the mathematical equations in order to determine if the critical point in this model is stable or not in four different hypothetical scenarios.