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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…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Spagnolo , D. Valenti , A. Fiasconaro

The noise-induced pattern formation in a population dynamical model of three interacting species in the coexistence regime is investigated. A coupled map lattice of Lotka-Volterra equations in the presence of multiplicative noise is used to…

Statistical Mechanics · Physics 2007-05-23 A. Fiasconaro , D. Valenti , B. Spagnolo

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…

Statistical Mechanics · Physics 2007-05-23 B. Spagnolo , A. Fiasconaro , D. Valenti

A spatially extended Lotka-Volterra system of two competing species in the presence of two correlated noise sources is analyzed: (i) an external multiplicative time correlated noise, which mimics the interaction between the system and the…

Statistical Mechanics · Physics 2007-05-23 D. Valenti , L. Schimansky-Geier , X. Sailer , B. Spagnolo , M. Iacomi

A coupled map lattice of generalized Lotka-Volterra equations in the presence of colored multiplicative noise is used to analyze the spatiotemporal evolution of three interacting species: one predator and two preys symmetrically competing…

Statistical Mechanics · Physics 2007-05-23 A. Fiasconaro , D. Valenti , B. Spagnolo

Classical ecological models predict that large, diverse communities should be unstable, presenting a central challenge to explaining the stable biodiversity seen in nature. We revisit this long-standing problem by extending the generalized…

Populations and Evolution · Quantitative Biology 2026-02-17 Amer Al-Hiyasat , Daniel W. Swartz , Jeff Gore , Mehran Kardar

We have analyzed the interplay between noise and periodic modulations in a classical Lotka-Volterra model of two-species competition. We have found that the consideration of noise changes drastically the behavior of the system and leads to…

Statistical Mechanics · Physics 2009-10-31 J. M. G. Vilar , R. V. Solé

We study the role of the noise in the dynamics of two competing species. We consider generalized Lotka-Volterra equations in the presence of a multiplicative noise, which models the interaction between the species and the environment. The…

Statistical Mechanics · Physics 2015-06-24 D. Valenti , A. Fiasconaro , B. Spagnolo

Noise and spatial degrees of freedom characterize most ecosystems. Some aspects of their influence on the coevolution of populations with cyclic interspecies competition have been demonstrated in recent experiments [e.g. B. Kerr et al.,…

Populations and Evolution · Quantitative Biology 2007-12-08 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

We study the role of multiplicative colored noise for different values of the correlation time $\tau_c$ in the dynamics of two competing species, described by generalized Lotka-Volterra equations. The multiplicative colored noise models the…

Statistical Mechanics · Physics 2007-05-23 D. Valenti , A. Fiasconaro , B. Spagnolo

Noise through its interaction with the nonlinearity of the living systems can give rise to counter-intuitive phenomena. In this paper we shortly review noise induced effects in different ecosystems, in which two populations compete for the…

Populations and Evolution · Quantitative Biology 2016-09-26 D. Valenti , A. Giuffrida , G. Denaro , N. Pizzolato , L. Curcio , B. Spagnolo , S. Mazzola , G. Basilone , A. Bonanno

Explaining the wide range of dynamics observed in ecological communities is challenging due to the large number of species involved, the complex network of interactions among them, and the influence of multiple environmental variables.…

Populations and Evolution · Quantitative Biology 2025-03-28 Francesco Ferraro , Christian Grilletta , Emanuele Pigani , Samir Suweis , Sandro Azaele , Amos Maritan

We introduce an individual-based model of a complex ecological community with random interactions. The model contains a large number of species, each with a finite population of individuals, subject to discrete reproduction and death…

Populations and Evolution · Quantitative Biology 2023-07-19 Ferran Larroya , Tobias Galla

In this work, we explore the dynamics of species abundances within ecological communities using the Generalized Lotka-Volterra (GLV) model. At variance with previous approaches, we present an analysis of stochastic GLV dynamics with…

Populations and Evolution · Quantitative Biology 2024-04-24 Samir Suweis , Francesco Ferraro , Christian Grilletta , Sandro Azaele , Amos Maritan

We study the constructive role of noises in a Lorenz system with functional delay. The effect of delay can change the dynamics of the system to a chaotic one from its steady state. Induced synchronization with white and colored (red and…

Chaotic Dynamics · Physics 2017-07-19 Soumen Majhi , Bidesh K. Bera , Santo Banerjee , Dibakar Ghosh

We consider the extension of the `Moran effect', where correlated noise generates synchrony between isolated single species populations, to the study of synchrony between populations embedded in multi-species communities. In laboratory…

Populations and Evolution · Quantitative Biology 2016-01-18 Emma J. Bowen , Todd L. Parsons , Thomas P. Curtis , Joshua B. Plotkin , Christopher Quince

We investigate the effects of a time-correlated noise on an extended chaotic system. The chosen model is the Lorenz'96, a kind of "toy" model used for climate studies. Through the analysis of the system's time evolution and its time and…

Chaotic Dynamics · Physics 2009-11-13 Jorge A. Revelli , Miguel A. Rodriguez , Horacio S. Wio

The spatio-temporal dynamics of three interacting species, two preys and one predator, in the presence of two different kinds of noise sources is studied. To describe the spatial distributions of the species we use a model based on…

Statistical Mechanics · Physics 2009-11-13 Davide Valenti , Bernardo Spagnolo

The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction parameter and a multiplicative white noise affects directly the…

Statistical Mechanics · Physics 2009-11-11 D. Valenti , L. Schimansky-Geier , X. Sailer , B. Spagnolo

We study the spatial distributions of two randomly interacting species, in the presence of an external multiplicative colored noise. The dynamics of the ecosystem is described by a coupled map lattice model. We find a nonmonotonic behavior…

Statistical Mechanics · Physics 2007-05-23 D. Valenti , A. Fiasconaro , B. Spagnolo
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