Onset of collective motion in locusts is captured by a minimal model

Louise Dyson, Christian A. Yates, Camille Buhl, and Alan J. McKane
Phys. Rev. E 92, 052708 – Published 6 November 2015
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Abstract

We present a minimal model to describe the onset of collective motion seen when a population of locusts are placed in an annular arena. At low densities motion is disordered, while at high densities locusts march in a common direction, which may reverse during the experiment. The data are well captured by an individual-based model, in which demographic noise leads to the observed density-dependent effects. By fitting the model parameters to equation-free coefficients, we give a quantitative comparison, showing time series, stationary distributions, and the mean switching times between states.

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  • Received 12 March 2015
  • Revised 30 July 2015

DOI:https://doi.org/10.1103/PhysRevE.92.052708

©2015 American Physical Society

Authors & Affiliations

Louise Dyson1,2,*, Christian A. Yates3,*,†, Camille Buhl4, and Alan J. McKane2

  • 1Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
  • 2Theoretical Physics Division, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
  • 3Centre for Mathematical Biology, Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom
  • 4School of Agriculture, Food and Wine, Waite Building, Waite Campus, University of Adelaide, Adelaide, South Australia 5005, Australia

  • *Refer to the last sentence of the Acknowledgments.
  • Corresponding author: c.yates@bath.ac.uk

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Issue

Vol. 92, Iss. 5 — November 2015

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