An individual based model with global competition interaction: fluctuations effects in pattern formation

Details An individual based model with global competition interaction: fluctuations effects in pattern formation An individual based model with global competition interaction: fluctuations effects in pattern formation

2007-04-02

arxiv.org/abs/0704.0271v2

Physical Review E 77, 021914 (2008)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 9 figures, minor changes

Scientific paper

10.1103/PhysRevE.77.021914

We present some numerical results obtained from a simple individual based model that describes clustering of organisms caused by competition. Our aim is to show how, even when a deterministic description developed for continuum models predicts no pattern formation, an individual based model displays well defined patterns, as a consequence of fluctuations effects caused by the discrete nature of the interacting agents.

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