Stochastic resonance and noise delayed extinction in a model of two competing species

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Abstract

We study the role of the noise in the dynamics of two competing species. We consider generalized Lotka–Volterra equations in the presence of a multiplicative noise, which models the interaction between the species and the environment. The interaction parameter between the species is a random process which obeys a stochastic differential equation with a generalized bistable potential in the presence of a periodic driving term, which accounts for the environment temperature variation. We find noise-induced periodic oscillations of the species concentrations and stochastic resonance phenomenon. We find also a nonmonotonic behavior of the mean extinction time of one of the two competing species as a function of the additive noise intensity.
Lingua originaleEnglish
pagine (da-a)477-486
Numero di pagine10
RivistaPHYSICA. A
Volume331
Stato di pubblicazionePublished - 2004

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

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