International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 4, Pages 13948, 20 p.
doi:10.1155/IJMMS/2006/13948
Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure
Xinyu Song1
, Zhihao Ge2
and Jingang Wu1
1Department of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, China
2Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China
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.