An individual based model with global competition interaction: fluctuations effects in pattern formation
arXiv:0704.0271 · doi:10.1103/PhysRevE.77.021914
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.
9 pages, 9 figures, minor changes
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- Analysis of a spatial Lotka-Volterra model with a finite range predator-prey interaction
- Front Propagation and Clustering in the Stochastic Nonlocal Fisher Equation
- Exploring the onset of collective motion in self-organised trails of social organisms