Trail formation based on directed pheromone deposition

Emmanuel Boissard, Pierre Degond, Sebastien Motsch

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We propose an Individual-Based Model of ant-trail formation. The ants are modeled as self-propelled particles which deposit directed pheromone particles and interact with them through alignment interaction. The directed pheromone particles intend to model pieces of trails, while the alignment interaction translates the tendency for an ant to follow a trail when it meets it. Thanks to adequate quantitative descriptors of the trail patterns, the existence of a phase transition as the ant-pheromone interaction frequency is increased can be evidenced. We propose both kinetic and fluid descriptions of this model and analyze the capabilities of the fluid model to develop trail patterns. We observe that the development of patterns by fluid models require extra trail amplification mechanisms that are not needed at the Individual-Based Model level.

Original languageEnglish (US)
Pages (from-to)1267-1301
Number of pages35
JournalJournal of Mathematical Biology
Volume66
Issue number6
DOIs
StatePublished - 2013
Externally publishedYes

Fingerprint

Ants
Pheromone
Pheromones
pheromones
Individual-based Model
Fluid Model
Alignment
Interaction
Formicidae
Amplification
Descriptors
Fluids
Phase Transition
Kinetics
Fluid
phase transition
Model
Deposits
Phase transitions
kinetics

Keywords

  • Alignment interaction
  • Directed pheromones
  • Fluid models
  • Individual-Based Model
  • Kinetic models
  • Pattern formation
  • Pheromone deposition
  • Self-propelled particles
  • Trail detection

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Trail formation based on directed pheromone deposition. / Boissard, Emmanuel; Degond, Pierre; Motsch, Sebastien.

In: Journal of Mathematical Biology, Vol. 66, No. 6, 2013, p. 1267-1301.

Research output: Contribution to journalArticle

Boissard, Emmanuel ; Degond, Pierre ; Motsch, Sebastien. / Trail formation based on directed pheromone deposition. In: Journal of Mathematical Biology. 2013 ; Vol. 66, No. 6. pp. 1267-1301.
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