Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse
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, an...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/259805 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554739154288640 |
|---|---|
| author | Changjin Xu Daxue Chen |
| author_facet | Changjin Xu Daxue Chen |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dee8815217d647be9f02aec434d7ed56 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-dee8815217d647be9f02aec434d7ed562025-02-03T05:50:48ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/259805259805Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and ImpulseChangjin Xu0Daxue Chen1Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004, ChinaFaculty of Science, Hunan Institute of Engineering, Xiangtan 411004, ChinaA 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.http://dx.doi.org/10.1155/2011/259805 |
| spellingShingle | Changjin Xu Daxue Chen Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse International Journal of Differential Equations |
| title | Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse |
| title_full | Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse |
| title_fullStr | Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse |
| title_full_unstemmed | Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse |
| title_short | Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse |
| title_sort | existence and global attractivity of positive periodic solutions for a two species competitive system with stage structure and impulse |
| url | http://dx.doi.org/10.1155/2011/259805 |
| work_keys_str_mv | AT changjinxu existenceandglobalattractivityofpositiveperiodicsolutionsforatwospeciescompetitivesystemwithstagestructureandimpulse AT daxuechen existenceandglobalattractivityofpositiveperiodicsolutionsforatwospeciescompetitivesystemwithstagestructureandimpulse |