International Journal of Mathematics and Mathematical Sciences 
Volume 2006 (2006), Article ID 13948, 20 pages
doi:10.1155/IJMMS/2006/13948

Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure

Xinyu Song,1 Zhihao Ge,2 and Jingang Wu1

 1Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, China
2Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China
Received 16 November 2004; Revised 25 January 2006; Accepted 16 February 2006

Abstract

A two-species predator-prey system with diffusion term and stage structure is discussed, local stability of the system is studied using linearization method, and global stability of the system is investigated by strong upper and lower solutions. The asymptotic behavior of solutions and the negative effect of stage structure on the permanence of populations are given.