Nonmonotonic Behavior of Spatiotemporal Pattern Formation in a Noisy Lotka-Volterra System

Abstract

The noise-induced pattern formation in a population dynamical model of three interacting species in the coexistence regime is investigated. A coupled map lattice of Lotka-Volterra equations in the presence of multiplicative noise is used to analyze the spatiotemporal evolution. The spatial correlation of the species concentration as a function of time and of the noise intensity is investigated. A nonmonotonic behavior of the area of the patterns as a function of both noise intensity and evolution time is found.

arXiv comment10 pages. In press in Acta Physica Polonica B

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