A delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedback is investigated. By means of a suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive solutions of the system. As a corollary, it is shown that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the delays are sufficiently small.
|Number of pages||11|
|Journal||Acta Mathematica Scientia (Series B)|
|Publication status||Published - 2003|
- Finite delay
- Infinite delay
- Global asymptotic stability
- Lyapunov functional