Stochastic resonance for two competing species in the presence of colored noise

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dc.creatorValenti, D.
dc.creatorFiasconaro, A.
dc.creatorSpagnolo, B.
dc.date2003-10-24
dc.date.accessioned2026-07-07T02:54:24Z
dc.date.available2026-07-07T02:54:24Z
dc.descriptionWe study the role of multiplicative colored noise for different values of the correlation time $τ_c$ in the dynamics of two competing species, described by generalized Lotka-Volterra equations. The multiplicative colored noise 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. The bistable potential is useful to describe the coexistence and exclusion dynamical regimes of the ecosystem. Noise-induced periodic oscillations of the species concentrations and stochastic resonance phenomenon appear due to the presence of the multiplicative noise. We find that for low values of the correlation time $τ_c$ the response of the system coincides with that obtained with multiplicative white noise. For higher values of $τ_c$ the coherent response of the system and the maximum of the signal-to-noise ratio, signature of the stochastic resonance phenomenon, are shifted towards higher values of the noise intensity.
dc.description7 pages, 7 figures, 22 panels. To appear in Modern Problems in Statistical Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0310587
dc.identifierhttp://arxiv.org/abs/cond-mat/0310587
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22532
dc.subjectStatistical Mechanics
dc.titleStochastic resonance for two competing species in the presence of colored noise
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