title: Dynamics of two competing species in the presence of Lévy noise sources.
abstract: 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 α-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 quasiperiodic oscillations and stochastic resonance phenomenon in the dynamics of the competing species, analyzing the role of the Lévy noise sources.
authors.affiliation: Dipartimento di Fisica e Tecnologie Relative, Università di Palermo, Group of Interdisciplinary Physics and CNISM-INFM, Unità di Palermo, Viale delle Scienze, Ed 18, I-90128 Palermo, Italy.
authors.forename: A
authors.initials: A
authors.lastname: La Cognata
authors.forename: D
authors.initials: D
authors.lastname: Valenti
authors.forename: A A
authors.initials: AA
authors.lastname: Dubkov
authors.forename: B
authors.initials: B
authors.lastname: Spagnolo
mesh_terms: D000222:Adaptation, Physiological / Q000502:physiology; D000818:Animals; D003163:Competitive Behavior / Q000502:physiology*; D003198:Computer Simulation; D017753:Ecosystem; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics; D011235:Predatory Behavior / Q000502:physiology*