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.

VALENTI D, FIASCONARO A, & SPAGNOLO B (2004). Stochastic resonance and noise delayed extinction in a model of two competing species. PHYSICA. A, 331, 477-486 [10.1016/j.physa.2003.09.036].

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

VALENTI, Davide;FIASCONARO, Alessandro;SPAGNOLO, Bernardo
2004

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.
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
VALENTI D, FIASCONARO A, & SPAGNOLO B (2004). Stochastic resonance and noise delayed extinction in a model of two competing species. PHYSICA. A, 331, 477-486 [10.1016/j.physa.2003.09.036].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/7769
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