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Dynamic Behaviors of a General Discrete Nonautonomous System of Plankton Allelopathy with Delays
Joint Authors
Chen, Fengde
Chen, Yaoping
Li, Zhong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-02-26
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We study the dynamic behaviors of a general discrete nonautonomous system of plankton allelopathy with delays.
We first show that under some suitable assumption, the system is permanent.
Next, by constructing a suitable Lyapunov functional, we obtain a set of sufficient conditions which guarantee the global attractivity of the two species.
After that, by constructing an extinction-type Lyapunov functional, we show that under some suitable assumptions, one species will be driven to extinction.
Finally, two examples together with their numerical simulations show the feasibility of the main results.
American Psychological Association (APA)
Chen, Yaoping& Chen, Fengde& Li, Zhong. 2009. Dynamic Behaviors of a General Discrete Nonautonomous System of Plankton Allelopathy with Delays. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-22.
https://search.emarefa.net/detail/BIM-462449
Modern Language Association (MLA)
Chen, Yaoping…[et al.]. Dynamic Behaviors of a General Discrete Nonautonomous System of Plankton Allelopathy with Delays. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-22.
https://search.emarefa.net/detail/BIM-462449
American Medical Association (AMA)
Chen, Yaoping& Chen, Fengde& Li, Zhong. Dynamic Behaviors of a General Discrete Nonautonomous System of Plankton Allelopathy with Delays. Discrete Dynamics in Nature and Society. 2009. Vol. 2008, no. 2008, pp.1-22.
https://search.emarefa.net/detail/BIM-462449
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462449