Numerical studies of an interacting particle system and its deterministic description

Emilio Hernández-García and Cristóbal López

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 1, 95-99

Abstract: We present numerical results on a stochastic population dynamics model with reproduction rates depending on the density of particles in a neighborhood. In order to investigate the role of fluctuations some characteristics of the model are compared with those computed from its deterministic (noise-less) density equation. In particular, we study the stationary density of particles when a pattern is developed and the typical size of the clusters of particles.

Keywords: Interacting particle systems; Cluster formation; Pattern formation (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:1:p:95-99

DOI: 10.1016/j.physa.2005.05.019

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