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

Davide Valenti; Alessandro Fiasconaro; Bernardo Spagnolo

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

Davide Valenti, Alessandro Fiasconaro, Bernardo Spagnolo

Fisica e Chimica - Emilio Segrè

Risultato della ricerca: Article › peer review

9 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	L305-L311
Numero di pagine	7
Rivista	Fluctuation and Noise Letters
Volume	5
Stato di pubblicazione	Published - 2005

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)

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title = "Nonmonotonic Pattern Formation in Three Species Lotka-Volterra System with Colored Noise",

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.",

author = "Davide Valenti and Alessandro Fiasconaro and Bernardo Spagnolo",

year = "2005",

language = "English",

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journal = "Fluctuation and Noise Letters",

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AU - Valenti, Davide

AU - Fiasconaro, Alessandro

AU - Spagnolo, Bernardo

PY - 2005

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N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/15105

M3 - Article

VL - 5

SP - L305-L311

JO - Fluctuation and Noise Letters

JF - Fluctuation and Noise Letters

SN - 0219-4775

ER -