A mathematical model for the population dynamics of army ants

N. F. Britton, L. W. Partridge, N. R. Franks

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A stochastic cellular automata model for the population dynamics of the army ant Eciton burchelli on Barro Colorado Island in Panama is set up. It is simulated on the computer and shown to give good agreement with biological data. It is analysed using two approximations akin to the mean field approximation in statistical mechanics, and good agreement with the simulations is obtained. Finally, the role of distance between successive statary phase bivouacs is discussed with regard to the rate of colony growth. There are two aspects of the biological system studied here that make it of general importance. First, the population is structured, since the size of each colony of army ants is crucial. Second, the spatial behaviour of the population, as in many others, is not diffusionlike, although it is random. This has implications for the kind of model that is chosen.

LanguageEnglish
Pages471-492
Number of pages22
JournalBulletin of Mathematical Biology
Volume58
Issue number3
StatusPublished - 1996

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Population dynamics
Ants
Population Dynamics
ant
population dynamics
Formicidae
Theoretical Models
mathematical models
Spatial Behavior
Mathematical Model
Mathematical models
Eciton burchelli
Panama
Statistical mechanics
cellular automaton
Mean-field Approximation
Cellular Automaton Model
Cellular automata
Biological systems
Mechanics

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

A mathematical model for the population dynamics of army ants. / Britton, N. F.; Partridge, L. W.; Franks, N. R.

In: Bulletin of Mathematical Biology , Vol. 58, No. 3, 1996, p. 471-492.

Research output: Contribution to journalArticle

Britton, N. F. ; Partridge, L. W. ; Franks, N. R. / A mathematical model for the population dynamics of army ants. In: Bulletin of Mathematical Biology . 1996 ; Vol. 58, No. 3. pp. 471-492.
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