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We analyze the nonlinear relaxation of a complex ecosystem composed of many interacting species. The ecological system is described by generalized Lotka-Volterra equations with a multiplicative noise. The transient dynamics is studied in the framework of the mean field theory and with random interaction between the species. We focus on the statistical properties of the asymptotic behaviour of the time integral of the i th population and on the distribution of the population and of the local field.
Ecology, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, random interactions, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Stochastic ordinary differential equations (aspects of stochastic analysis), Quantitative Biology, Population dynamics (general), FOS: Biological sciences, mean field approximations, Condensed Matter - Statistical Mechanics, Quantitative Biology (q-bio)
Ecology, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, random interactions, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Stochastic ordinary differential equations (aspects of stochastic analysis), Quantitative Biology, Population dynamics (general), FOS: Biological sciences, mean field approximations, Condensed Matter - Statistical Mechanics, Quantitative Biology (q-bio)
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