Table of Contents
Chinese Journal of Mathematics
Volume 2015, Article ID 856959, 11 pages
Research Article

Periodic Solutions for -Species Lotka-Volterra Competitive Systems with Pure Delays

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

Received 11 January 2015; Revised 22 March 2015; Accepted 2 April 2015

Academic Editor: Martin J. Bohner

Copyright © 2015 Ahmadjan Muhammadhaji et al. 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.


We study a class of periodic general -species competitive Lotka-Volterra systems with pure delays. Based on the continuation theorem of the coincidence degree theory and Lyapunov functional, some new sufficient conditions on the existence and global attractivity of positive periodic solutions for the -species competitive Lotka-Volterra systems are established. As an application, we also examine some special cases of the system, which have been studied extensively in the literature.