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EnglishWe 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.
| Data di pubblicazione: | 2004 |
| Titolo: | Stochastic resonance and noise delayed extinction in a model of two competing species |
| Autori: | |
| Citazione: | 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. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.physa.2003.09.036 |
| 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 Scientifico Disciplinare: | Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/7769
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