TY - JOUR
T1 - Analytical solution of a model for complex food webs
AU - Camacho, Juan
AU - Guimerà, Roger
AU - Amaral, Luís A.Nunes
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.65.030901
DO - 10.1103/PhysRevE.65.030901
M3 - Article
C2 - 11909021
AN - SCOPUS:41349092251
SN - 1063-651X
VL - 65
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
ER -