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Global attractor in autonomous competitive Lotka-Volterra systems
Authors:Zhanyuan Hou
Abstract:For autonomous Lotka-Volterra systems modelling the dynamics of $N$ competing species, a new condition has been found to prevent a particular species from dying out. Based on this condition, criteria have been established for all or some of the $N$ species to stabilise at a steady state whilst the others, if any, die out.

Keywords:Lotka-Volterra   global attractor   autonomous systems   competition
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