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

A. Fiasconaro·D. Valenti·B. Spagnolo
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Abstract

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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A. Fiasconaro, D. Valenti, B. Spagnolo. 2005-11-21. Nonmonotonic Pattern Formation in Three Species Lotka-Volterra System with Colored Noise. https://arxiv.org/abs/cond-mat/0511510

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