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Permanence and convergence in multi-species competition systems with delay
Author(s):
Jianhong
Wu;
Xiao-Qiang
Zhao
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1709-1714.
MSC (1991):
Primary 34K15, 58F25, 92D25
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Abstract:
The permanence and global attractivity of positive equilibria are obtained for some multi-species Kolmogorov competition models with delay by embedding the system into a larger cooperative system with delay and then appealing to the theory of monotone dynamical systems.
References:
- 1.
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- J. K. Hale and P. Waltman, Persistence in infinite-dimensional systems, SIAM J. Math. Anal., 20(1989), 388-395. MR 90b:58156
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Additional Information:
Jianhong
Wu
Affiliation:
Department of Mathematics and Statistics, York University, North York, Canada M3J 1P3
Email:
wujh@mathstat.yorku.ca
Xiao-Qiang
Zhao
Affiliation:
Department of Mathematics and Statistics, York University, North York, Canada M3J 1P3
Address at time of publication:
Department of Mathematics, Arizona State University, Tempe, Arizona 85287
Email:
xzhao@math.la.asu.edu
DOI:
10.1090/S0002-9939-98-04522-5
PII:
S 0002-9939(98)04522-5
Keywords:
Delayed competition systems,
monotone semiflow,
global attractivity
Received by editor(s):
November 15, 1996
Additional Notes:
The first author's research was supported in part by NSERC and by the Alexander von Humboldt Foundation.
The second author is on leave from the Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China. Research supported in part by the NSF of China.
Communicated by:
Hal L. Smith
Copyright of article:
Copyright
1998,
American Mathematical Society
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