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Fixed Response Thresholds and the Regulation of Division of Labor in Insect Societies

Author

Listed:
  • Eric Bonabeau
  • Guy Theraulaz
  • Jean-Louis Deneubourg

Abstract

We introduce a simple mathematical model of regulation of division of labour in insect societies based on the notion of fixed response thresholds. Individuals with different thresholds respond differently to task-associated stimuli. Low-threshold individuals become involved at a lower level of stimulus than high-threshold individuals. We show that this simple model can account for experimental observations of Wilson (1984), extend the model to more complicated situations, explore its properties, and study under what conditions it can account for temporal polyethism.

Suggested Citation

  • Eric Bonabeau & Guy Theraulaz & Jean-Louis Deneubourg, 1998. "Fixed Response Thresholds and the Regulation of Division of Labor in Insect Societies," Working Papers 98-01-009, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:98-01-009
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    Cited by:

    1. Thomas Owen Richardson & Kim Christensen & Nigel Rigby Franks & Henrik Jeldtoft Jensen & Ana Blagovestova Sendova-Franks, 2011. "Ants in a Labyrinth: A Statistical Mechanics Approach to the Division of Labour," PLOS ONE, Public Library of Science, vol. 6(4), pages 1-12, April.
    2. Maria-del-Mar Bibiloni-Femenias & José Guerrero & Juan-José Miñana & Oscar Valero, 2021. "Indistinguishability Operators via Yager t -norms and Their Applications to Swarm Multi-Agent Task Allocation," Mathematics, MDPI, vol. 9(2), pages 1-21, January.
    3. Anna Dornhaus, 2011. "Finding optimal collective strategies using individual-based simulations: colony organization in social insects," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 18(1), pages 25-37, May.
    4. Marcel García & Jose Aguilar & María D. R-Moreno, 2024. "An Autonomous Distributed Coordination Strategy for Sustainable Consumption in a Microgrid Based on a Bio-Inspired Approach," Energies, MDPI, vol. 17(3), pages 1-28, February.
    5. Boysen, Nils & Scholl, Armin & Wopperer, Nico, 2012. "Resequencing of mixed-model assembly lines: Survey and research agenda," European Journal of Operational Research, Elsevier, vol. 216(3), pages 594-604.
    6. Jan J. Kreider & Thijs Janzen & Abel Bernadou & Daniel Elsner & Boris H. Kramer & Franz J. Weissing, 2022. "Resource sharing is sufficient for the emergence of division of labour," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    7. Pierre-André Eyer & Julien Freyer & Serge Aron, 2013. "Genetic polyethism in the polyandrous desert ant Cataglyphis cursor," Behavioral Ecology, International Society for Behavioral Ecology, vol. 24(1), pages 144-151.

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