The authors consider a stochastically perturbed delay Lotka-Volterra model with additive noise of the form
Here denotes Brownian motion. First they provide conditions guaranteeing that (1) has a unique global solution which remains positive almost surely. Then they consider ultimate boundedness in mean of the solution of (1), i.e., they give conditions such that
holds, where is a constant. In the last section the authors discuss conditions implying that the population described by the solution of (1) becomes extinct with probability one.