dorsal/arxiv
View SchemaNoise in ecosystems: a short review
| Authors | B. Spagnolo, D. Valenti, A. Fiasconaro |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0403004 |
| URL | https://arxiv.org/abs/q-bio/0403004 |
Abstract
Noise, through its interaction with the nonlinearity of the living systems, can give rise to counter-intuitive phenomena such as stochastic resonance, noise-delayed extinction, temporal oscillations, and spatial patterns. In this paper we briefly review the noise-induced effects in three different ecosystems: (i) two competing species; (ii) three interacting species, one predator and two preys, and (iii) N-interacting species. The transient dynamics of these ecosystems are analyzed through generalized Lotka-Volterra equations in the presence of multiplicative noise, which models the interaction between the species and the environment. The interaction parameter between the species is random in cases (i) and (iii), and a periodical function, which accounts for the environmental temperature, in case (ii). We find noise-induced phenomena such as quasi-deterministic oscillations, stochastic resonance, noise-delayed extinction, and noise-induced pattern formation with nonmonotonic behaviors of patterns areas and of the density correlation as a function of the multiplicative noise intensity. The asymptotic behavior of the time average of the \emph{$i^{th}$} population when the ecosystem is composed of a great number of interacting species is obtained and the effect of the noise on the asymptotic probability distributions of the populations is discussed.
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"abstract": "Noise, through its interaction with the nonlinearity of the living systems,\ncan give rise to counter-intuitive phenomena such as stochastic resonance,\nnoise-delayed extinction, temporal oscillations, and spatial patterns. In this\npaper we briefly review the noise-induced effects in three different\necosystems: (i) two competing species; (ii) three interacting species, one\npredator and two preys, and (iii) N-interacting species. The transient dynamics\nof these ecosystems are analyzed through generalized Lotka-Volterra equations\nin the presence of multiplicative noise, which models the interaction between\nthe species and the environment. The interaction parameter between the species\nis random in cases (i) and (iii), and a periodical function, which accounts for\nthe environmental temperature, in case (ii). We find noise-induced phenomena\nsuch as quasi-deterministic oscillations, stochastic resonance, noise-delayed\nextinction, and noise-induced pattern formation with nonmonotonic behaviors of\npatterns areas and of the density correlation as a function of the\nmultiplicative noise intensity. The asymptotic behavior of the time average of\nthe \\emph{$i^{th}$} population when the ecosystem is composed of a great number\nof interacting species is obtained and the effect of the noise on the\nasymptotic probability distributions of the populations is discussed.",
"arxiv_id": "q-bio/0403004",
"authors": [
"B. Spagnolo",
"D. Valenti",
"A. Fiasconaro"
],
"categories": [
"q-bio.PE"
],
"title": "Noise in ecosystems: a short review",
"url": "https://arxiv.org/abs/q-bio/0403004"
},
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