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

Bernardo Spagnolo, Davide Valenti, Dubkov, Angelo La Cognata

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87 Citazioni (Scopus)

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 ofthe 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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All Science Journal Classification (ASJC) codes

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

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