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

Dynamical phase diagrams of a love capacity constrained prey–predator model / Toranj Simin, P.; Reza Jafari, Gholam; Ausloos, Marcel; Federico Caiafa, Cesar; Caram, Facundo; Sonubi, Adeyemi; Arcagni, ALBERTO GIOVANNI; Stefani, Silvana. - In: THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS. - ISSN 1434-6028. - 91:(2018).

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

Marcel Ausloos;Alberto Arcagni;Silvana Stefani
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
2018
prey–predator model; cooperation and competition; interaction scheme
01 Pubblicazione su rivista::01a Articolo in rivista
Dynamical phase diagrams of a love capacity constrained prey–predator model / Toranj Simin, P.; Reza Jafari, Gholam; Ausloos, Marcel; Federico Caiafa, Cesar; Caram, Facundo; Sonubi, Adeyemi; Arcagni, ALBERTO GIOVANNI; Stefani, Silvana. - In: THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS. - ISSN 1434-6028. - 91:(2018).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1319122
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