Global stability for n-species lotka-volterra systems with delay, ii: reducible cases, sufficiency

Abstract

In this paper an n-species delayed Lotka-Volterra system without de1ayed intraspecific competitions is considered. It is proved that the system is globally stable for all off-diagonal delays T_ij≥0 provided the interaction matrix A of the system satisfies the weakly diagonally dominant Condition (WDD)

Keywords:

• Lotka-Volterra systems
• discrete delays
• global stability
• sufficiency