Analysis and simulation of the mathematical model love dynamics through autonomous system of ordinary differential equations

Marlon Mollinedo Chura R.; Pumacallahui Salcedo E.; Ccama Alejo R.; Gonzalo Copari Romero F. · Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology (2024) · DOI: 10.18687/laccei2024.1.1.299

Resumen

In the present research work inspired by Strogatz [3], we qualitatively analyze the mathematical model of love in which two people can find themselves: Romeo and Juliet, this analysis is based on four possible states of love: he does not pay attention to his heart, fire and ice, soul mate and Romeo the robot, with the aim of anticipating the evolution over time of love bond, by means of an autonomous system of ordinary differential equations. Finally, simulations were carried out using Matlab software to represent the phase portraits and thus observe the stability of the critical points.

Instituciones: Universidad Nacional del Altiplano; Universidad Nacional de Juliaca; Universidad Nacional Intercultural de Quillabamba