Discrete Dynamics in Nature and Society
Volume 2006 (2006), Issue 3, Article ID 70656, 19 pages
doi:10.1155/DDNS/2006/70656
Dynamics of a nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses
Hai-Feng Huo1
and Wan-Tong Li2
1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, Gansu, China
2School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu, China
Abstract
A nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses is investigated. For general nonautonomous case, positive invariance, permanence, and globally asymptotic stability for the system are studied. For the periodic (almost periodic) case, sufficient conditions for existence, uniqueness, and stability of a positive periodic (almost periodic) solution are obtained.