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

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

doi:10.1016/j.mbs.2015.01.007

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

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

Biological Sciences

Research output: Contribution to journal › Article › peer-review

10 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 language	English (US)
Pages (from-to)	56-64
Number of pages	9
Journal	Mathematical Biosciences
Volume	262
DOIs	https://doi.org/10.1016/j.mbs.2015.01.007
State	Published - Apr 1 2015

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

Keywords

Ant foraging
Reinforced random walks
Stochastic processes
Transport networks

Access to Document

10.1016/j.mbs.2015.01.007

Cite this

@article{48db5bed8d2c4512b633f4efeb1f55d0,

title = "From individual to collective dynamics in Argentine ants (Linepithema humile)",

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.",

keywords = "Ant foraging, Reinforced random walks, Stochastic processes, Transport networks",

author = "M. Vela-P{\'e}rez and Fontelos, {M. A.} and S. Garnier",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = apr,

day = "1",

doi = "10.1016/j.mbs.2015.01.007",

language = "English (US)",

volume = "262",

pages = "56--64",

journal = "Mathematical Biosciences",

issn = "0025-5564",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - From individual to collective dynamics in Argentine ants (Linepithema humile)

AU - Vela-Pérez, M.

AU - Fontelos, M. A.

AU - Garnier, S.

PY - 2015/4/1

Y1 - 2015/4/1

N2 - 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.

AB - 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.

KW - Ant foraging

KW - Reinforced random walks

KW - Stochastic processes

KW - Transport networks

UR - http://www.scopus.com/inward/record.url?scp=84961345489&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84961345489&partnerID=8YFLogxK

U2 - 10.1016/j.mbs.2015.01.007

DO - 10.1016/j.mbs.2015.01.007

M3 - Article

C2 - 25640869

AN - SCOPUS:84961345489

SN - 0025-5564

VL - 262

SP - 56

EP - 64

JO - Mathematical Biosciences

JF - Mathematical Biosciences

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this