TY - JOUR

T1 - Stochastic resonance and noise delayed extinction in a model of two competing species

AU - Spagnolo, Bernardo

AU - Valenti, Davide

AU - Fiasconaro, Alessandro

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - Noise-induced effects.

KW - Population dynamics

KW - Statistical mechanics

KW - Noise-induced effects.

KW - Population dynamics

KW - Statistical mechanics

UR - http://hdl.handle.net/10447/7769

M3 - Article

VL - 331

SP - 477

EP - 486

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -