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Related papers: Effects of Noise in Symmetric Two-Species Competit…

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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

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

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

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

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

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

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

We have analyzed the interplay between noise and periodic spatial modulations in bistable systems outside equilibrium and found that noise is able to increase the spatial order of the system, giving rise to periodic patterns which otherwise…

Statistical Mechanics · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

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

Understanding the cause of the synchronization of population evolution is an important issue for ecological improvement. Here we present a Lotka-Volterra-type model driven by two correlated environmental noises and show, via theoretical…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Wei-Rong Zhong , Yuan-Zhi Shao , Zhen-Hui He , Meng-Jie Bie , Dan Huang

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 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

Motivated by the traditional Lotka-Volterra competitive models, this paper proposes and analyzes a class of stochastic reaction-diffusion partial differential equations. In contrast to the models in the literature, the new formulation…

Probability · Mathematics 2021-05-10 N. N. Nguyen , G. Yin

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

Environmental variation can play an important role in ecological competition by influencing the relative advantage between competing species. Here, we consider such effects by extending a classical, competitive Moran model to incorporate an…

Populations and Evolution · Quantitative Biology 2019-09-18 Ryan Murray , Glenn Young

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

We investigate the competing effects and relative importance of intrinsic demographic and environmental variability on the evolutionary dynamics of a stochastic two-species Lotka-Volterra model by means of Monte Carlo simulations on a…

Populations and Evolution · Quantitative Biology 2013-01-28 Ulrich Dobramysl , Uwe C. Tauber

We analyze the spatio-temporal patterns of two competing species in the presence of two white noise sources: an additive noise acting on the interaction parameter and a multiplicative noise which affects directly the dynamics of the species…

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

We consider a couple of models for the dynamics of the populations of two interacting species, inspired by Lotka-Volterra's classical equations. The novelty of this work is that the interaction terms are non local and the interaction occurs…

Populations and Evolution · Quantitative Biology 2022-09-21 Mario I. Simoy , Marcelo N. Kuperman

We investigate the Lotka-Volterra model for predator-prey competition with a finite carrying capacity that varies periodically in time, modeling seasonal variations in nutrients or food resources. In the absence of time variability, the…

Pattern Formation and Solitons · Physics 2026-05-05 Mohamed Swailem , Alastair M. Rucklidge
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