Moment equations for a spatially extended system of two competing species

D. Valenti (), L. Schimansky-Geier, X. Sailer and B. Spagnolo

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 50, issue 1, 199-203

Abstract: The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction parameter and a multiplicative white noise affects directly the dynamics of the two species. To describe the spatial distribution of the species we use a model based on Lotka-Volterra (LV) equations. By writing them in a mean field form, the corresponding moment equations for the species concentrations are obtained in Gaussian approximation. In this formalism the system dynamics is analyzed for different values of the multiplicative noise intensity. Finally by comparing these results with those obtained by direct simulations of the time discrete version of LV equations, that is coupled map lattice (CML) model, we conclude that the anticorrelated oscillations of the species densities are strictly related to non-overlapping spatial patterns. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 05.40.-a Fluctuation phenomena; random processes; noise; and Brownian motion; 05.45.-a Nonlinear dynamics and nonlinear dynamical systems; 87.23.Cc Population dynamics and ecological pattern formation (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (21)

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DOI: 10.1140/epjb/e2006-00102-5

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