Search results for "Random walks and Lévy flight"

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Dynamics of two competing species in the presence of Lévy noise sources

2010

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.

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 Behavior
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Dynamics of a Lotka-Volterra system in the presence of non-Gaussian noise sources

2009

We consider a Lotka-Volterra system of two competing species subject to multiplicative α-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 dynamical regimes, exclusion of one species and coexistence of both ones, analyzing the role of the Lévy noise sources.

Fluctuation phenomenaRandom processeNoiseRandom walks and Lévy flightSettore FIS/07 - Fisica Applicata(Beni Culturali Ambientali Biol.e Medicin)
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