Global stability for three-species Lotka–Volterra systems with delay

摘要

In this paper, a three-species delayed Lotka–Volterra system without delayed interspecific competitions is considered. It is proved that the system is globally stable for all off-diagonal delays τij⩾0 (i≠j,i,j=1,2,3) if and only if the interaction matrix of the system satisfies condition (WDD).