Abstract
In this paper, we deal with the global asymptotic stability of n-dimensional Lotka-Volterra system with time dependent coefficients. By constructing suitable Lyapunov functions, we generalize Theorems 3.1 and 3.2 of [6] to our n-dimensional case and therefore have solved the open problem given in [6]. We also discuss the global stability of the periodic solution of the system when all the coefficients of the system are periodic. For the case of n = 2, we have improved the corresponding results in [6].
| Original language | English |
|---|---|
| Pages (from-to) | 253-262 |
| Number of pages | 10 |
| Journal | Applicable Analysis |
| Volume | 50 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 1 Sept 1993 |
| Externally published | Yes |
Keywords
- Lyapunov functions
- global stability
- periodic solution