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

## TL;DR

This paper demonstrates that individual-based models with global competition can produce pattern formations driven by fluctuations, even when continuum models predict no such patterns.

## Contribution

It introduces an individual-based model showing how fluctuations induce pattern formation absent in deterministic continuum descriptions.

## Key findings

- Fluctuations lead to pattern formation in models with global competition.
- Discrete agent effects can cause emergent spatial structures.
- Patterns are observed despite continuum models predicting uniformity.

## 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.