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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Global attractor in autonomous competitive
Lotka-Volterra systems


Author: Zhanyuan Hou
Journal: Proc. Amer. Math. Soc. 127 (1999), 3633-3642
MSC (1991): Primary 34D45; Secondary 34A26, 92D25
Published electronically: May 17, 1999
MathSciNet review: 1646192
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05204-1
PII: S 0002-9939(99)05204-1
Keywords: Lotka-Volterra, global attractor, autonomous systems, competition
Received by editor(s): February 19, 1998
Published electronically: May 17, 1999
Communicated by: Michael Handel
Article copyright: © Copyright 1999 American Mathematical Society