Dynamics of two competing species in the presence of Lévy noise sources

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Abstract

We consider a Lotka-Volterra system of two competing species subject to multiplicative alpha-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 regimes, exclusion of one species and coexistence of both. We find quasi-periodic oscillations and stochastic resonance phenomenon in the dynamics of the competing species, analysing the role of the Lévy noise sources.
Lingua originaleEnglish
pagine (da-a)1-9
Numero di pagine9
RivistaPHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
Volume82
Stato di pubblicazionePublished - 2010

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Competing Species
random processes
Lotka-Volterra System
Stochastic Resonance
Random process
exclusion
Coexistence
Stochastic Equations
Multiplicative
differential equations
Oscillation
Differential equation
oscillations
Term
Interaction
interactions

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics
  • Statistics and Probability

Cita questo

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title = "Dynamics of two competing species in the presence of L{\'e}vy noise sources",
abstract = "We consider a Lotka-Volterra system of two competing species subject to multiplicative alpha-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 regimes, exclusion of one species and coexistence of both. We find quasi-periodic oscillations and stochastic resonance phenomenon in the dynamics of the competing species, analysing the role of the L{\'e}vy noise sources.",
author = "{La Cognata}, Angelo and Bernardo Spagnolo and Davide Valenti and Dubkov",
year = "2010",
language = "English",
volume = "82",
pages = "1--9",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",

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T1 - Dynamics of two competing species in the presence of Lévy noise sources

AU - La Cognata, Angelo

AU - Spagnolo, Bernardo

AU - Valenti, Davide

AU - Dubkov, null

PY - 2010

Y1 - 2010

N2 - We consider a Lotka-Volterra system of two competing species subject to multiplicative alpha-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 regimes, exclusion of one species and coexistence of both. We find quasi-periodic oscillations and stochastic resonance phenomenon in the dynamics of the competing species, analysing the role of the Lévy noise sources.

AB - We consider a Lotka-Volterra system of two competing species subject to multiplicative alpha-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 regimes, exclusion of one species and coexistence of both. We find quasi-periodic oscillations and stochastic resonance phenomenon in the dynamics of the competing species, analysing the role of the Lévy noise sources.

UR - http://hdl.handle.net/10447/51507

M3 - Article

VL - 82

SP - 1

EP - 9

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

ER -