Weakly Chaotic Population Dynamics in Random Ecological Networks
chao-dyn
2008-02-03 v2 Chaotic Dynamics
q-bio
Abstract
Population dynamics in random ecological networks are investigated by analyzing a simple deterministic equation. It is found that a sequence of abrupt changes of populations punctuating quiescent states characterize the long time behavior. An asymptotic analysis is developed by introducing a log-scaled time, and it is shown that such a dynamical process behaves as non-steady weak chaos in which population disturbances grow algebraically in time. Also, some relevance of our study to taxonomic data of biological extinction is mentioned.
Cite
@article{arxiv.chao-dyn/9408002,
title = {Weakly Chaotic Population Dynamics in Random Ecological Networks},
author = {Shin-ichi Sasa and Tsuyoshi Chawanya},
journal= {arXiv preprint arXiv:chao-dyn/9408002},
year = {2008}
}
Comments
10 pages (Revtex) + 4 figures (postscript)