Permanence and Positive Periodic Solutions of a Discrete Delay Competitive System
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-06
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
A discrete time non-autonomous two-species competitive system with delays is proposed, which involves the influence of many generations on the density of species population.
Sufficient conditions for permanence of the system are given.
When the system is periodic, by using the continuous theorem of coincidence degree theory and constructing a suitable Lyapunov discrete function, sufficient conditions which guarantee the existence and global attractivity of positive periodic solutions are obtained.
As an application, examples and their numerical simulations are presented to illustrate the feasibility of our main results.
American Psychological Association (APA)
Qin, Wenjie& Liu, Zhijun. 2010. Permanence and Positive Periodic Solutions of a Discrete Delay Competitive System. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-467605
Modern Language Association (MLA)
Qin, Wenjie& Liu, Zhijun. Permanence and Positive Periodic Solutions of a Discrete Delay Competitive System. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-22.
https://search.emarefa.net/detail/BIM-467605
American Medical Association (AMA)
Qin, Wenjie& Liu, Zhijun. Permanence and Positive Periodic Solutions of a Discrete Delay Competitive System. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-467605
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467605
