Nonlinear Phenomena in Complex Systems, 2005, Vol.8, No.3, pp.210-221

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2005, Vol.8, No.3, pp.210-221

Periodic Solutions of a Delayed Predator-Prey Loop Model with Holling Type-II Functional Response.
Rui Xu, Qiming Liu, and Feilong Hao

A delayed periodic predator-prey loop model with Holling type-II functional response is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are established for the existence, uniqueness and global stability of positive periodic solutions of the system.
Key words: predator-prey loop model, time delay, periodic solution, global stability

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