Abstract and Applied Analysis
Volume 2008 (2008), Article ID 371632, 15 pages
doi:10.1155/2008/371632
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
Abstract
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.