Noise Induced Phenomena in Lotka-Volterra Systems
Statistical Mechanics
2007-05-23 v2 Populations and Evolution
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0310585,
title = {Noise Induced Phenomena in Lotka-Volterra Systems},
author = {B. Spagnolo and A. Fiasconaro and D. Valenti},
journal= {arXiv preprint arXiv:cond-mat/0310585},
year = {2007}
}
Comments
9 pages, 6 figures, 23 panels. Appeared in Fluctuation and Noise Letters (2003)