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Preprint . 2007
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Global attractor in competitive Lotka–Volterra systems

Global attractor in competitive Lotka-Volterra systems
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 23 Jun 2009Embargo end date: 01 Jan 2007 English Publisher:WileyJournal:Mathematische Nachrichten, volume 282, pages 995-1,008 (issn: 0025-584X, eissn: 1522-2616, Copyright policy )
Authors: Hou, Zhanyuan;

doi: 10.1002/mana.200610785 , 10.48550/arxiv.0711.3385

arXiv: 0711.3385

Global attractor in competitive Lotka–Volterra systems

Abstract

AbstractFor autonomous Lotka–Volterra systems of differential equations modelling the dynamics of n competing species, new criteria are established for the existence of a single point global attractor. Under the conditions of these criteria, some of the species will survive and stabilise at a steady state whereas the others, if any, will die out (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Related Organizations
Keywords

global attractor, Dynamical Systems (math.DS), 92D25, Lotka-Volterra, Attractors of solutions to ordinary differential equations, 34D45, Population dynamics (general), Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 34D45; 92D25, Mathematics - Dynamical Systems, competitive systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Top 10%
Green
bronze