Abstract
A delayed Gause-type predator?prey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing a suitable Lyapunov functional, sufficient conditions are derived for the local and global asymptotic stability of the positive equilibrium of the system.
| Original language | English |
|---|---|
| Pages (from-to) | 148-162 |
| Number of pages | 15 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 265 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2002 |
Keywords
- Uniform persistence
- Stability
- Delay
- Lyapunov functional