Mathematics > Dynamical Systems
[Submitted on 21 Nov 2007]
Title:Global Attractor in Competitive Lotka-Volterra Systems
View PDFAbstract: For 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.
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