Nonlinear Relaxation in Population Dynamics
统计力学
2016-11-23 v1 无序系统与神经网络
q-bio
摘要
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.
引用
@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}
}
备注
11 pages, 4 figures, in press in Int. Journal of Fractals (2001)