Global Attractor in Competitive Lotka-Volterra Systems
arXiv:0711.3385
Abstract
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.
16 pages