Nonlinear Relaxation in Population Dynamics

Details Nonlinear Relaxation in Population Dynamics Nonlinear Relaxation in Population Dynamics

2001-07-19

arxiv.org/abs/cond-mat/0107394v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures, in press in Int. Journal of Fractals (2001)

Scientific paper

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.

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