6533b863fe1ef96bd12c7879
RESEARCH PRODUCT
Stochastic resonance and noise delayed extinction in a model of two competing species
Bernardo SpagnoloDavide ValentiAlessandro Fiasconarosubject
Statistics and ProbabilityExtinctionSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)BistabilityStochastic resonanceStochastic processPopulations and Evolution (q-bio.PE)FOS: Physical sciencesStatistical mechanicStatistical and Nonlinear PhysicsPopulation dynamicNoise (electronics)Multiplicative noiseStochastic partial differential equationStochastic differential equationControl theoryFOS: Biological sciencesQuantitative Biology::Populations and EvolutionStatistical physicsNoise-induced effects.Quantitative Biology - Populations and EvolutionCondensed Matter - Statistical MechanicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-10-24 |