Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-27
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A nonautonomous Leslie-Gower type food chain model with time delays is investigated.
It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions.
Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence, uniqueness, and global asymptotic stability of a positive periodic solution of the system.
The conditions for the permanence, global stability of system, and the existence, uniqueness of positive periodic solution depend on delays; so, time delays are profitless.
American Psychological Association (APA)
Lu, Hongying& Wang, Weiguo. 2011. Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-467467
Modern Language Association (MLA)
Lu, Hongying& Wang, Weiguo. Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-467467
American Medical Association (AMA)
Lu, Hongying& Wang, Weiguo. Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-467467
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467467