Dynamics of a Lotka-Volterra system in the presence of non-Gaussian noise sources

Dubkov, Aa

Risultato della ricerca: Other contribution

Abstract

We consider a Lotka-Volterra system of two competing species subject to multiplicative α-stable Lévy noise. The interaction parameter between the species is a random process which obeys a stochastic differential equation with a generalized bistable potential in the presence both of a periodic driving term and an additive alpha-stable Lévy noise. We study the species dynamics, which is characterized by two different dynamical regimes, exclusion of one species and coexistence of both ones, analyzing the role of the Lévy noise sources.
Lingua originaleEnglish
Stato di pubblicazionePublished - 2009

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Dynamics of a Lotka-Volterra system in the presence of non-Gaussian noise sources. / Dubkov, Aa.

2009, .

Risultato della ricerca: Other contribution

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title = "Dynamics of a Lotka-Volterra system in the presence of non-Gaussian noise sources",
abstract = "We consider a Lotka-Volterra system of two competing species subject to multiplicative α-stable L{\'e}vy noise. The interaction parameter between the species is a random process which obeys a stochastic differential equation with a generalized bistable potential in the presence both of a periodic driving term and an additive alpha-stable L{\'e}vy noise. We study the species dynamics, which is characterized by two different dynamical regimes, exclusion of one species and coexistence of both ones, analyzing the role of the L{\'e}vy noise sources.",
keywords = "Random walks and L{\'e}vy flights; Fluctuation phenomena; Random processes; Noise",
author = "{Dubkov, Aa} and {La Cognata}, Angelo and Bernardo Spagnolo and Davide Valenti",
year = "2009",
language = "English",
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T1 - Dynamics of a Lotka-Volterra system in the presence of non-Gaussian noise sources

AU - Dubkov, Aa

AU - La Cognata, Angelo

AU - Spagnolo, Bernardo

AU - Valenti, Davide

PY - 2009

Y1 - 2009

N2 - We consider a Lotka-Volterra system of two competing species subject to multiplicative α-stable Lévy noise. The interaction parameter between the species is a random process which obeys a stochastic differential equation with a generalized bistable potential in the presence both of a periodic driving term and an additive alpha-stable Lévy noise. We study the species dynamics, which is characterized by two different dynamical regimes, exclusion of one species and coexistence of both ones, analyzing the role of the Lévy noise sources.

AB - We consider a Lotka-Volterra system of two competing species subject to multiplicative α-stable Lévy noise. The interaction parameter between the species is a random process which obeys a stochastic differential equation with a generalized bistable potential in the presence both of a periodic driving term and an additive alpha-stable Lévy noise. We study the species dynamics, which is characterized by two different dynamical regimes, exclusion of one species and coexistence of both ones, analyzing the role of the Lévy noise sources.

KW - Random walks and Lévy flights; Fluctuation phenomena; Random processes; Noise

UR - http://hdl.handle.net/10447/50241

M3 - Other contribution

ER -