NOISE INDUCED PHENOMENA IN LOTKA-VOLTERRA SYSTEMS

By Bernardo Spagnolo, Alessandro Fiasconaro, Davide Valenti. 2003

84 citations recorded by the source corpus.

We study the time evolution of two ecosystems in the presence of external noise and climatic periodical forcing by a generalized Lotka-Volterra (LV) model. In the first ecosystem, composed by two competing species, we find noise induced phenomena such as: (i) quasi deterministic oscillations, (ii) stochastic resonance, (iii) noise delayed extinction and (iv) spatial patterns. In the second ecosystem, composed by three interacting species (one predator and two preys), using a discrete model of the LV equations we find that the time evolution of the spatial patterns is strongly dependent on the initial conditions of the three species.

Subfields: Ecology, Global and Planetary Change, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1dc7059ec692f8a9cafbc8394ff3123c43ca1e1a

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In Global and Planetary Change

In Statistical and Nonlinear Physics

Citations in the corpus

Spatio-temporal behaviour of the deep chlorophyll maximum in Mediterranean Sea: Development of a stochastic model for picophytoplankton dynamics (2012, background): “…that natural systems, because of these characteristics, are complex systems (Grenfell et al., 1998; Zimmer, 1999; Bjørnstad and Grenfell, 2001; Spagnolo et al., 2002, 2003, 2005; La Barbera and Spagnolo, 2002; Spagnolo and La Barbera, 2002; Caruso et al., 2005; Chichigina et al., 2005;…”
Environmental Metal Pollution Considered as Noise: Effects on the Spatial Distribution of Benthic Foraminifera in two coastal Marine Areas of Sicily (Southern Italy) (2008, background): “…in many different fields ranging from neuroscience to biological evolution and population dynamics (Goldenfeld and Kadanoff, 1999; Freund and Pöschel, 2000; Brown et al., 2001, Sugden and Stone, 2001; Turchin et al., 2002; Spagnolo et al., 2003; Spagnolo et al., 2004; Valenti et al., 2004a).”