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

Author

Listed:
  • P. Toranj Simin

    (Shahid Beheshti University, G.C., Evin)

  • Gholam Reza Jafari

    (Shahid Beheshti University, G.C., Evin
    Center for Network Science, Central European University)

  • Marcel Ausloos

    (School of Business, University of Leicester, University Road
    Group of Researchers for Applications of Physics in Economy and Sociology (GRAPES), rue de la Belle Jardinière 483)

  • Cesar Federico Caiafa

    (Psychological and Brain Sciences, Indiana University
    Instituto Argentino de Radioastronomía, CCT La Plata, CONICET)

  • Facundo Caram

    (Laboratorio de Redes y Sistemas Móviles, FI-UBA)

  • Adeyemi Sonubi

    (Scuola di Economia e Statistica, Department of Statistics and Quantitative Methods, Università degli Studi di Milano-Bicocca)

  • Alberto Arcagni

    (Scuola di Economia e Statistica, Department of Statistics and Quantitative Methods, Università degli Studi di Milano-Bicocca)

  • Silvana Stefani

    (Scuola di Economia e Statistica, Department of Statistics and Quantitative Methods, Università degli Studi di Milano-Bicocca)

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.

Suggested Citation

  • P. Toranj Simin & Gholam Reza Jafari & Marcel Ausloos & Cesar Federico Caiafa & Facundo Caram & Adeyemi Sonubi & Alberto Arcagni & Silvana Stefani, 2018. "Dynamical phase diagrams of a love capacity constrained prey–predator model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(2), pages 1-18, February.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:2:d:10.1140_epjb_e2017-80531-7
    DOI: 10.1140/epjb/e2017-80531-7
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    Cited by:

    1. Hanchao Liu, 2020. "When one stock share is a biological individual: a stylized simulation of the population dynamics in an order-driven market," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 373-408, June.
    2. Stefani, Silvana & Ausloos, Marcel & González-Concepción, Concepción & Sonubi, Adeyemi & Gil-Fariña, Ma Candelaria & Pestano-Gabino, Celina & Moretto, Enrico, 2021. "Competing or collaborating, with no symmetrical behaviour: Leadership opportunities and winning strategies under stability," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 489-504.

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