International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 13948, 20 pages
Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure
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
Copyright © 2006 Xinyu Song 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 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.