Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 271672, 12 pages
http://dx.doi.org/10.1155/2012/271672
Research Article

Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales

1Sunshine College, Fuzhou University, Fujian, Fuzhou 350015, China
2Zhicheng College, Fuzhou University, Fujian, Fuzhou 350002, China

Received 11 August 2011; Accepted 26 December 2011

Academic Editor: Cengiz Çinar

Copyright © 2012 Shengbin Yu 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.

Abstract

With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the existence of multiple positive periodic solutions of delayed predator-prey systems with type IV functional responses on time scales. Our results not only unify the existing ones but also widen the range of applications.