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Numerical studies of an interacting particle system and its deterministic description

Hernandez-Garcia, Emilio;López, Cristóbal
Physica A 356, 95-99 (2005)

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.