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(Reference retrieved automatically from Google Scholar through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Random replicators with high-order interactions

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Author(s):
De Oliveira‚ V.M. ; Fontanari‚ JF
Total Authors: 2
Document type: Journal article
Source: Physical Review Letters; v. 85, n. 23, p. 4984-4987, 2000.
Abstract

We use tools of the equilibrium statistical mechanics of disordered systems to study analytically the statistical properties of an ecosystem composed of N species interacting via random mutual interactions, as well as via deterministic self-interactions of order p greater than or equal to 2. We show that the main effect of increasing the order of the interactions among the species is to make the system less competitive, in the sense that the fraction of extinct species is greatly reduced. In addition, we find that for p > 2 there is a threshold value which gives a lower bound to the concentration of the surviving species, preventing then the existence of rare species and, consequently, increasing the robustness of the ecosystem to external perturbations. (AU)

FAPESP's process: 99/09644-9 - Theoretical Molecular Evolution
Grantee:José Fernando Fontanari
Support Opportunities: Research Projects - Thematic Grants