Analytical solution of a model for complex food webs

Juan Camacho; Roger Guimerà; Luís A.Nunes Amaral

doi:10.1103/PhysRevE.65.030901

Analytical solution of a model for complex food webs

Juan Camacho^*, Roger Guimerà, Luís A.Nunes Amaral

^*Corresponding author for this work

Chemical and Biological Engineering

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63 Scopus citations

Abstract

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.

Original language	English (US)
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	65
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.65.030901
State	Published - 2002

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.65.030901

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title = "Analytical solution of a model for complex food webs",

abstract = "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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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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Analytical solution of a model for complex food webs

Abstract

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