Advances in Difference Equations
Volume 2010 (2010), Article ID 517378, 19 pages
doi:10.1155/2010/517378
Research Article

Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags

Shengqiang Liu

Natural Science Research Center, The Academy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, 3041#, 2 Yi-Kuang Street, Nan-Gang District, Harbin 150080, China

Received 23 November 2009; Accepted 24 April 2010

Academic Editor: Elena Braverman

Copyright © 2010 Shengqiang Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.