Bulletin of Mathematical Biology

, Volume 63, Issue 6, pp 1079–1093

Model of droplet dynamics in the Argentine ant Linepithema humile (Mayr)

Authors

    • Laboratoire d’Ethologie et Cognition Animale, CNRS-ERS 2382Université Paul Sabatier
  • Eric Bonabeau
    • Santa Fe Institute
    • Icosyst Corp
  • Christian Sauwens
    • Unit of Theoretical Behavioral Ecology, CENOLI, CP 231Université Libre de Bruxelles
  • Jean-Louis Deneubourg
    • Unit of Theoretical Behavioral Ecology, CENOLI, CP 231Université Libre de Bruxelles
  • Arnaud Lioni
    • Laboratoire d’Ethologie et Cognition Animale, CNRS-ERS 2382Université Paul Sabatier
    • Unit of Theoretical Behavioral Ecology, CENOLI, CP 231Université Libre de Bruxelles
  • François Libert
    • Laboratoire d’Ethologie et Cognition Animale, CNRS-ERS 2382Université Paul Sabatier
  • Luc Passera
    • Laboratoire d’Ethologie et Cognition Animale, CNRS-ERS 2382Université Paul Sabatier
  • Ricard Solé
    • Complex Systems Research Group, Department of PhysicsFEN-UPC, Campus Nord B4
Article

DOI: 10.1006/bulm.2001.0260

Cite this article as:
Theraulaz, G., Bonabeau, E., Sauwens, C. et al. Bull. Math. Biol. (2001) 63: 1079. doi:10.1006/bulm.2001.0260

Abstract

The formation of droplets of ants Linepithema humile (Mayr) is observed under certain experimental conditions: a fluctuating aggregate forms at the end of a rod and a droplet containing up to 40 ants eventually falls down. When the flux of incoming ants is sufficient, this process can continue for several hours, leading to the formation and fall of tens of droplets. Previous work indicates that the time series of drop-to-drop intervals may result from a nonlinear low-dimensional dynamics, and the interdrop increments exhibit long-range anticorrelations. A model of aggregation and droplet formation, based on experimental observations, is introduced and shown to reproduce these properties.

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Copyright information

© Society for Mathematical Biology 2001