Permanence and convergence in multi-species competition systems with delay
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- by Jianhong Wu and Xiao-Qiang Zhao PDF
- Proc. Amer. Math. Soc. 126 (1998), 1709-1714 Request permission
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
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Additional Information
- Jianhong Wu
- Affiliation: Department of Mathematics and Statistics, York University, North York, Canada M3J 1P3
- MR Author ID: 226643
- 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
- MR Author ID: 241619
- Email: xzhao@math.la.asu.edu
- 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 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1709-1714
- MSC (1991): Primary 34K15, 58F25, 92D25
- DOI: https://doi.org/10.1090/S0002-9939-98-04522-5
- MathSciNet review: 1458271