Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 150841, 19 pages
Research Article

Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with Impulses

College of Applied Mathematics, Xinjiang University of Finance and Economics, Urumqi 830012, China

Received 3 May 2012; Accepted 21 June 2012

Academic Editor: Yong Zhou

Copyright © 2012 Juan Hou and Hanhui 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.


The qualitative properties of general nonautonomous n-species Gilpin-Ayala competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction, and global attractivity of partial species are established by using the methods of inequalities estimate and Liapunov functions.