Global Attractor in Competitive Lotka-Volterra Systems

Details Global Attractor in Competitive Lotka-Volterra Systems Global Attractor in Competitive Lotka-Volterra Systems

2007-11-21

arxiv.org/abs/0711.3385v1

Mathematics

Dynamical Systems

16 pages

Scientific paper

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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