1994/08/10 by Shin-ichi Sasa, Sasa, Shin-ichi, Tsuyoshi Chawanya +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Biological sciences #FOS: Physical sciences #Quantitative Biology (q-bio) #chao-dyn #nlin.CD #q-bio
paper · pdf · doi:10.48550/arxiv.chao-dyn/9408002
10 pages (Revtex) + 4 figures (postscript)
arxiv created 1994/08/12 · arxiv updated 2009/11/30
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.