6533b7d5fe1ef96bd12651ff

RESEARCH PRODUCT

Nonmonotonic Pattern Formation in Three Species Lotka-Volterra System with Colored Noise

Davide ValentiBernardo SpagnoloAlessandro Fiasconaro

subject

Population DynamicSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)General MathematicsLotka–Volterra equationsStatistical MechanicGeneral Physics and AstronomyPattern formationFOS: Physical sciencesStatistical Mechanics; Population Dynamics; Noise induced effects; Lotka-Volterra equationsWhite noiseMultiplicative noiseNoiseColoredColors of noiseControl theoryNoise induced effectQuantitative Biology::Populations and EvolutionLotka-Volterra equationsStatistical physicsCondensed Matter - Statistical MechanicsCoupled map latticeMathematics

description

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 each other. The correlation of the species concentration over the grid as a function of time and of the noise intensity is investigated. The presence of noise induces pattern formation, whose dimensions show a nonmonotonic behavior as a function of the noise intensity. The colored noise induces a greater dimension of the patterns with respect to the white noise case and a shift of the maximum of its area towards higher values of the noise intensity.

yearjournalcountryeditionlanguage
2005-11-21
http://arxiv.org/abs/cond-mat/0511510