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          Institute: Fritz-Haber-Institut     Collection: Physical Chemistry     Display Documents



ID: 112720.0, Fritz-Haber-Institut / Physical Chemistry
Statistics of extinction and survival in Lotka-Volterra systems
Authors:Abramson, Guillermo; Zanette, Damián H.
Language:English
Date of Publication (YYYY-MM-DD):1998-04
Title of Journal:Physical Review E
Journal Abbrev.:Phys. Rev. E
Volume:57
Issue / Number:4
Start Page:4572
End Page:4577
Copyright:Jahrbuch 1999, Copyright MPG 1999
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:We analyze purely competitive many-species Lotka-Volterra systems with random interaction matrices, focusing the attention on statistical properties of their asymptotic states. Generic features of the evolution are outlined from a semiquantitative analysis of the phase-space structure and extensive numerical simulations are performed to study the statistics of the extinctions. We find that the number of surviving species depends strongly on the statistical properties of the interaction matrix and that the probability of survival is weakly correlated to specific initial conditions.
Free Keywords:PACS: 87.10.+e, 82.20.Mj, 02.40.Vh
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Ertl
Affiliations:Fritz-Haber-Institut/Physical Chemistry
External Affiliations:Abramson G, Int. Centre for Theoretical Physics, Strada Costiera 11, P.O. Box 586, I-34100 Trieste, Italy; Zanette DH, Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche, 8400 Bariloche, Argentina
Identifiers:LOCALID:4934
URL:http://link.aps.org/abstract/PRE/v57/p4572
DOI:10.1103/PhysRevE.57.4572
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