Nonlinear Relaxation in Population Dynamics
Statistical Mechanics
2016-11-23 v1 Disordered Systems and Neural Networks
q-bio
Abstract
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.
Cite
@article{arxiv.cond-mat/0107394,
title = {Nonlinear Relaxation in Population Dynamics},
author = {M. A. Cirone and F. de Pasquale and B. Spagnolo},
journal= {arXiv preprint arXiv:cond-mat/0107394},
year = {2016}
}
Comments
11 pages, 4 figures, in press in Int. Journal of Fractals (2001)