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arXiv · 0704.0271

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

E. Brigatti·V. Schwammle·Minos A. Neto
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Abstract

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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E. Brigatti, V. Schwammle, Minos A. Neto. 2008-02-27. An individual based model with global competition interaction: fluctuations effects in pattern formation. https://doi.org/10.1103/physreve.77.021914

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