Analytical solution of a model for complex food webs
Disordered Systems and Neural Networks
2009-11-07 v2 q-bio
Abstract
We investigate numerically and analytically a recently proposed model for food webs [Nature {\bf 404}, 180 (2000)] in the limit of large web sizes and sparse interaction matrices. We obtain analytical expressions for several quantities with ecological interest, in particular the probability distributions for the number of prey and the number of predators. We find that these distributions have fast-decaying exponential and Gaussian tails, respectively. We also find that our analytical expressions are robust to changes in the details of the model.
Keywords
Cite
@article{arxiv.cond-mat/0102127,
title = {Analytical solution of a model for complex food webs},
author = {Juan Camacho and Roger Guimera and Luis A. N. Amaral},
journal= {arXiv preprint arXiv:cond-mat/0102127},
year = {2009}
}
Comments
4 pages (RevTeX). Final version