Eur. Phys. J. B (2018) 91: 43
https://doi.org/10.1140/epjb/e2017-80531-7

Dynamical phase diagrams of a love capacity constrained prey–predator model

¹ Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran 19839, Iran
² Center for Network Science, Central European University, 1051 Budapest, Hungary
³ School of Business, University of Leicester, University Road, Leicester LE1 7RH, UK
⁴ Group of Researchers for Applications of Physics in Economy and Sociology (GRAPES), rue de la Belle Jardinière 483, 4031 Angleur, Belgium
⁵ Psychological and Brain Sciences, Indiana University, Bloomington, IN, USA
⁶ Instituto Argentino de Radioastronomía, CCT La Plata, CONICET, La Plata, Argentina
⁷ Laboratorio de Redes y Sistemas Móviles, FI-UBA, Buenos Aires, Argentina
⁸ Scuola di Economia e Statistica, Department of Statistics and Quantitative Methods, Università degli Studi di Milano-Bicocca, 20126 Milano, Italy

^a e-mail: ma683@le.ac.uk; marcel.ausloos@ulg.ac.be

Received: 19 September 2017
Received in final form: 1 December 2017
Published online: 19 February 2018

Abstract

One interesting question in love relationships is: finally, what and when is the end of this love relationship? Using a prey–predator Verhulst–Lotka–Volterra (VLV) model we imply cooperation and competition tendency between people in order to describe a “love dilemma game”. We select the most simple but immediately most complex case for studying the set of nonlinear differential equations, i.e. that implying three persons, being at the same time prey and predator. We describe four different scenarios in such a love game containing either a one-way love or a love triangle. Our results show that it is hard to love more than one person simultaneously. Moreover, to love several people simultaneously is an unstable state. We find some condition in which persons tend to have a friendly relationship and love someone in spite of their antagonistic interaction. We demonstrate the dynamics by displaying flow diagrams.