Stochastic resonance and noise delayed extinction in a model of two competing species
By Davide Valenti, Alessandro Fiasconaro, Bernardo Spagnolo. 2003
134 citations recorded by the source corpus.
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.
Subfields: Computer Networks and Communications, Global and Planetary Change, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9dd7beb9275ca9143cf93d2c657a821aa9204379
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In Computer Networks and Communications
In Global and Planetary Change
In Statistical and Nonlinear Physics
Citations in the corpus
- NOISE INDUCED PHENOMENA IN LOTKA-VOLTERRA SYSTEMS (2003, background): “More recently noise induced effects on population dynamics have been investigated [13, 14, 15, 16, 17, 18].”
- Environmental Metal Pollution Considered as Noise: Effects on the Spatial Distribution of Benthic Foraminifera in two coastal Marine Areas of Sicily (Southern Italy) (2008, methodology): “ution and population dynamics (Goldenfeld and Kadanoff, 1999; Freund and P¨oschel, 2000; Brown et al., 2001, Sugden and Stone, 2001; Turchin et al., 2002; Spagnolo et al., 2003; Spagnolo et al., 2004; Valenti et al., 2004a). Moreover noise-induced effects in biological systems appear in bio-informatic”