Abstract and Applied Analysis
Volume 2008 (2008), Article ID 371632, 15 pages
Research Article

Permanence of Periodic Predator-Prey System with Functional Responses and Stage Structure for Prey

Can-Yun Huang, Min Zhao, and Hai-Feng Huo

Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

Received 10 July 2008; Accepted 20 September 2008

Academic Editor: Stephen Clark

Copyright © 2008 Can-Yun Huang 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.


A stage-structured three-species predator-prey model with Beddington-DeAngelis and Holling II functional response is introduced. Based on the comparison theorem, sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained. An example is also presented to illustrate our main results.