From individual to collective dynamics in Argentine ants (Linepithema humile)

M. Vela-Pérez, M. A. Fontelos, S. Garnier

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this paper we propose a model for the formation of paths in Argentine ants when foraging in an empty arena. Based on experimental observations, we provide a distribution for the random change in direction that they approximately undergo while foraging as a mixture of a Gaussian and a Pareto distribution. By following the principles described in previous work [32], we consider persistence and reinforcement to create a model for the motion of ants in the plane. Numerical simulations based on this model lead to the formation of branched ant-trails analogous to those observed experimentally.

Original languageEnglish (US)
Pages (from-to)56-64
Number of pages9
JournalMathematical Biosciences
Volume262
DOIs
StatePublished - Apr 1 2015

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Keywords

  • Ant foraging
  • Reinforced random walks
  • Stochastic processes
  • Transport networks

Fingerprint

Dive into the research topics of 'From individual to collective dynamics in Argentine ants (Linepithema humile)'. Together they form a unique fingerprint.

Cite this