Global Attractor in Competitive Lotka-Volterra Systems
Dynamical Systems
2007-11-22 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.0711.3385,
title = {Global Attractor in Competitive Lotka-Volterra Systems},
author = {Zhanyuan Hou},
journal= {arXiv preprint arXiv:0711.3385},
year = {2007}
}
Comments
16 pages