%0 Journal Article %T Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags %A Shengqiang Liu %J Advances in Difference Equations %D 2010 %I Springer %R 10.1155/2010/517378 %X We discuss a general n-species discrete Kolmogorov system with time lags. We build some new results about the sufficient conditions for permanence, extinction, and balancing survival. When applying these results to some Lotka-Volterra systems, we obtain the criteria on harmless delay for the permanence as well as profitless delay for balancing survival. %U http://dx.doi.org/10.1155/2010/517378