Nonmonotonic Pattern Formation in Three Species Lotka-Volterra System with Colored Noise

Details Nonmonotonic Pattern Formation in Three Species Lotka-Volterra System with Colored Noise Nonmonotonic Pattern Formation in Three Species Lotka-Volterra System with Colored Noise

2005-11-21

arxiv.org/abs/cond-mat/0511510v1

Published in Fluc. Noise Lett. (2005)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures

Scientific paper

A coupled map lattice of generalized Lotka-Volterra equations in the presence of colored multiplicative noise is used to analyze the spatiotemporal evolution of three interacting species: one predator and two preys symmetrically competing each other. The correlation of the species concentration over the grid as a function of time and of the noise intensity is investigated. The presence of noise induces pattern formation, whose dimensions show a nonmonotonic behavior as a function of the noise intensity. The colored noise induces a greater dimension of the patterns with respect to the white noise case and a shift of the maximum of its area towards higher values of the noise intensity.

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