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 |
|---|---|
| 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