Analytical solution of a model for complex food webs

Details Analytical solution of a model for complex food webs Analytical solution of a model for complex food webs

2001-02-07

arxiv.org/abs/cond-mat/0102127v2

Phys Rev E 65, 030901 R (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages (RevTeX). Final version

Scientific paper

10.1103/PhysRevE.65.030901

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.

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