6533b7d1fe1ef96bd125c413
RESEARCH PRODUCT
Dynamics of two competing species in the presence of Lévy noise sources
Davide ValentiA. La CognataAlexander A. DubkovBernardo Spagnolosubject
Competitive BehaviorComplex systemsBistabilityStochastic resonancePopulation DynamicsComplex systemModels BiologicalStochastic differential equationControl theoryQuantitative Biology::Populations and EvolutionAnimalsHumansComputer SimulationStatistical physicsEcosystemMathematicsPopulation dynamics and ecological pattern formationModels StatisticalStochastic processDynamics (mechanics)Multiplicative functionStochastic analysis methods (Fokker-Planck Langevin etc.)Adaptation PhysiologicalRandom walks and Lévy flightQuasiperiodic functionPredatory Behaviordescription
We consider a Lotka-Volterra system of two competing species subject to multiplicative alpha-stable Lévy noise. The interaction parameter between the species is a random process which obeys a stochastic differential equation with a generalized bistable potential in the presence both of a periodic driving term and an additive alpha-stable Lévy noise. We study the species dynamics, which is characterized by two different regimes, exclusion of one species and coexistence of both. We find quasi-periodic oscillations and stochastic resonance phenomenon in the dynamics of the competing species, analysing the role of the Lévy noise sources.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-07-15 |