6533b82efe1ef96bd129278a
RESEARCH PRODUCT
Two competing species in super-diffusive dynamical regimes
Bernardo SpagnoloA. La CognataDavide ValentiAlexander A. Dubkovsubject
Fluctuation phenomena random processes noise and Brownian motionPhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciBistabilityStochastic resonanceDifferential equationLotka–Volterra equationsProbability theory stochastic processes and statisticStochastic analysis methods (Fokker-Planck Langevin etc.)Population dynamicCondensed Matter PhysicsNoise (electronics)Multiplicative noiseElectronic Optical and Magnetic MaterialsBackground noiseLangevin equationRandom walks and Levy flightQuantitative Biology::Populations and EvolutionStatistical physicsdescription
The dynamics of two competing species within the framework of the generalized Lotka-Volterra equations, in the presence of multiplicative alpha-stable Lévy noise sources and a random time dependent interaction parameter, is studied. The species dynamics is characterized by two different dynamical regimes, exclusion of one species and coexistence of both, depending on the values of the interaction parameter, which obeys a Langevin equation with a periodically fluctuating bistable potential and an additive alpha-stable Lévy noise. The stochastic resonance phenomenon is analyzed for noise sources asymmetrically distributed. Finally, the effects of statistical dependence between multiplicative noise and additive noise on the dynamics of the two species are studied.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-08-06 | The European Physical Journal B |