Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 180, Issue 1, Pages 353-365Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2005.12.015
Keywords
periodic; food-chain model; difference equations
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With the help of differential equations with piecewise constant arguments, we first derive a discrete analogy of continuous three level food-chain model of Holling type II, which is governed by difference equations with periodic coefficients. A set of sufficient conditions is derived for the existence of positive periodic solutions with strictly positive components by using the continuation theorem in coincidence degree theory. Particularly, the upper and lower bounds of the periodic solutions are also established. (c) 2005 Elsevier Inc. All rights reserved.
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