Search results for "Interacting species"

showing 3 items of 3 documents

Nonmonotonic behavior of spatiotemporal pattern formation in a noisy Lotka-Volterra system

2004

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 analyze the spatiotemporal evolution. The spatial correlation of the species concentration as a function of time and of the noise intensity is investigated. A nonmonotonic behavior of the area of the patterns as a function of both noise intensity and evolution time is found.

Coupled Map LatticeSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)Noise-induced pattern formationMultiplicative noiseQuantitative Biology::Populations and EvolutionFOS: Physical sciencesInteracting speciesCoupled Map Lattice; Multiplicative noise; Noise-induced pattern formation; Interacting speciesCondensed Matter - Statistical Mechanics
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Transient behavior of a population dynamical model

2005

The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with the environment. We investigate different asymptotic dynamical regimes and the role of the external noise on the probability distribution of the local field.

Physicseducation.field_of_studySettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciPhysics and Astronomy (miscellaneous)Statistical Mechanics (cond-mat.stat-mech)PopulationMultiplicative noisePopulations and Evolution (q-bio.PE)FOS: Physical sciencesDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksExternal noisePopulation dynamicMultiplicative noiseFOS: Biological sciencesProbability distributionInteracting speciesTransient (oscillation)Statistical physicsQuantitative Biology - Populations and EvolutioneducationLocal fieldPopulation dynamics; Multiplicative noise; Interacting speciesCondensed Matter - Statistical Mechanics
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Extinction statistics in N random interacting species

2008

A randomly interacting N-species Lotka-Volterra system in the presence of a Gaussian multiplicative noise is analyzed. The investigation is focused on the role of this external noise into the statistical properties of the extinction times of the populations. The distributions show a Gaussian shape for each noise intensity value investigated. A monotonic behavior of the mean extinction time as a function of the noise intensity is found, while a nonmonotonic behavior of the width of the extinction time probability distribution characterizes the dynamical evolution.

Statistical Mechanics (cond-mat.stat-mech)random interacting speciesQuantitative Biology::Populations and EvolutionFOS: Physical sciencesCondensed Matter - Statistical Mechanics
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