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

P. TORANJ SIMIN; G.R. JAFARI; MARCEL AUSLOOS; CESAR F. CAIAFA; LEONIDAS F. CARAM; A. SONUBI; A. ARCAGNI; S. STEFANI

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

SPRINGER

Lugar: Berlin; Año: 2018

1434-6028

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 ten- dency 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 sce- narios 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 un- stable state. We find some condition in which persons tend to have a friendly relationship and love someone in spite of their antagonistic inter- action. We demonstrate the dynamics by displaying flow diagrams.