Almost a year after the beginning of the pandemic, most young people talk about strong feelings of loneliness, mental fatigue, sadness and worry. Many of them mention the need to see and embrace their friends, but also the frustrations generated by the new rules imposed at home, at school and in society. For over 400 years, a love story has been going around the world and is not going out of style at all. Love can be a very splendid thing, but it is also very complicated and seemingly very unpredictable. This article describes a mathematical approach to modeling a romantic relationship between two lovers, in particular Romeo and Juliet, using systems of differential equations with constant coefficients. The approach is quite general for shaping social interaction and can be applied to any romantic relationship of two individuals. Two mathematical models
are presented as well as the mathematical methods related to them, highlighting with the help of the MATLAB program, the dynamics of the relationship between the two lovers.
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