Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-13
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
A class of nonautonomous two-species competitive system with stage structure and impulse is considered.
By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantee the existence of at least a positive periodic solution, and, by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are presented.
Finally, an illustrative example is given to demonstrate the correctness of the obtained results.
American Psychological Association (APA)
Xu, Changjin& Chen, Daxue. 2011. Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-28.
https://search.emarefa.net/detail/BIM-458226
Modern Language Association (MLA)
Xu, Changjin& Chen, Daxue. Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse. International Journal of Differential Equations No. 2011 (2011), pp.1-28.
https://search.emarefa.net/detail/BIM-458226
American Medical Association (AMA)
Xu, Changjin& Chen, Daxue. Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-28.
https://search.emarefa.net/detail/BIM-458226
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458226