In this paper, we consider a nonautonomous multispecies competition predator-prey system with Holling's type III functional response and prey supplement. It is proved that the system is uniformly persistent under some conditions. Furthermore, we show that the system has a unique positive periodic solution which is globally asymptotically stable.
Submitted May 2, 2007. Published July 25, 2007.
Math Subject Classifications: 92D25, 34C25.
Key Words: Competition predator-prey system; periodic solution; Holling's type III functional response; global attractivity.
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| Jiwei He |
School of Mathematics and Physics
North China Electric Power University
Baoding, 071003, China
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