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

D. Valenti, A. Fiasconaro and B. Spagnolo

Physica A: Statistical Mechanics and its Applications, 2004, vol. 331, issue 3, 477-486

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.

Keywords: Statistical mechanics; Population dynamics; Noise-induced effects (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (16)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:331:y:2004:i:3:p:477-486

DOI: 10.1016/j.physa.2003.09.036

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