Global Attractor in Competitive Lotka-Volterra Systems

Zhanyuan Hou

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arXiv · 0711.3385

Global Attractor in Competitive Lotka-Volterra Systems

Zhanyuan Hou

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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.

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Zhanyuan Hou. 2007-11-21. Global Attractor in Competitive Lotka-Volterra Systems. https://arxiv.org/abs/0711.3385

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