In this paper, we consider a non-autonomous stochastic LotkaVolterra competitive system dxi(t) = xi(t)[(bi(t)− n ∑ j=1 aij(t)xj(t))dt+σi(t)dBi(t)], where Bi(t) (i = 1, 2, · · · , n) are independent standard Brownian motions. Some dynamical properties are discussed and the sufficient conditions for the existence of global positive solutions, stochastic permanence, extinction as well as global at...