Electron. J. Diff. Eqns.,
Vol. 2007(2007), No. 103, pp. 1-7.
Periodic solutions of multispecies-competition
predator-prey system with Holling's type III functional response
and prey supplement
Jiwei He
Abstract:
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
email: hejiwei313@163.com
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