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Global attractor in autonomous competitive Lotka-Volterra systems
Author(s):
Zhanyuan
Hou
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3633-3642.
MSC (1991):
Primary 34D45;
Secondary 34A26, 92D25
Posted:
May 17, 1999
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Abstract:
For autonomous Lotka-Volterra systems modelling the dynamics of  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  species to stabilise at a steady state whilst the others, if any, die out.
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Additional Information:
DOI:
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
Posted:
May 17, 1999
Communicated by:
Michael Handel
Copyright of article:
Copyright
1999,
American Mathematical Society
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