Global attractor in autonomous competitive Lotka-Volterra systems

Hou, Zhanyuan

doi:10.1090/S0002-9939-99-05204-1

Global attractor in autonomous competitive Lotka-Volterra systems
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Proc. Amer. Math. Soc. 127 (1999), 3633-3642 Request permission

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.

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