Permanence and convergence

in multi-species competition systems with delay

Authors:
Jianhong Wu and Xiao-Qiang Zhao

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1709-1714

MSC (1991):
Primary 34K15, 58F25, 92D25

MathSciNet review:
1458271

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Abstract | References | Similar Articles | Additional Information

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.

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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:
http://dx.doi.org/10.1090/S0002-9939-98-04522-5

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

Article copyright:
© Copyright 1998
American Mathematical Society