Analytical solution of a model for complex food webs.
We investigate numerically and analytically a recently proposed model for food webs [Nature 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.
Camacho
Juan
J
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA. juan.camacho@uab.es
Guimerà
Roger
R
Amaral
Luís A Nunes
LA
D000818:Animals; D004463:Ecology; D005502:Food; D008954:Models, Biological; D008962:Models, Theoretical