Abstract
A periodic cooperative model with time delays is investigated. By using the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the system.
Original language | English |
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Pages (from-to) | 915-936 |
Number of pages | 22 |
Journal | Indian Journal of Pure and Applied Mathematics |
Volume | 35 |
Issue number | 7 |
Publication status | Published - 2004 |
Keywords
- Cooperative system
- Time delay
- Periodic solution
- Continuation theorem of coincidence degree theory
- Lyapunov functional
- Global stability