Nonlinear Phenomena in Complex Systems, 2003, Vol.6, No.2, pp.597-606

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2003, Vol.6, No.2, pp.597-606

Periodic Solution of a Discrete Time Periodic Three-Species Food-Chain Model with Functional Response and Time Delays
Qiming Liu and Rui Xu

A delayed discrete time periodic three-species food-chain model with Holling-type II functional response is investigated. By using the Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of a periodic solution to the system.
Key words: discrete food-chain system, time delay, periodic solution, coincidence degree

Full text: Acrobat PDF (180KB) PostScript (419KB) PostScript.gz (195KB)