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

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

2003-10-24

arxiv.org/abs/cond-mat/0310582v2

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures, 17 panels. To appear in Physica A

Scientific paper

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.

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