Moment Equations for a Spatially Extended System of Two Competing Species

Davide Valenti, Bernardo Spagnolo, Schimansky-Geier, Sailer

Risultato della ricerca: Article

47 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)199-203
Numero di pagine5
RivistaTHE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS
Volume50
Stato di pubblicazionePublished - 2006

Fingerprint

Volterra equations
moments
White noise
Spatial distribution
Dynamical systems
noise intensity
white noise
spatial distribution
formalism
oscillations
approximation
simulation
interactions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cita questo

@article{c4f96d19d180415c827e659112b2694f,
title = "Moment Equations for a Spatially Extended System of Two Competing Species",
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.",
author = "Davide Valenti and Bernardo Spagnolo and Schimansky-Geier and Sailer",
year = "2006",
language = "English",
volume = "50",
pages = "199--203",
journal = "European Physical Journal B",
issn = "1434-6028",
publisher = "Springer New York",

}

TY - JOUR

T1 - Moment Equations for a Spatially Extended System of Two Competing Species

AU - Valenti, Davide

AU - Spagnolo, Bernardo

AU - Schimansky-Geier, null

AU - Sailer, null

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/15038

M3 - Article

VL - 50

SP - 199

EP - 203

JO - European Physical Journal B

JF - European Physical Journal B

SN - 1434-6028

ER -