Periodic solution for a delayed three-species food-chain system
with Holling type-II functional response

Liu, Qiming; Xu, Rui

doi:https://doi.org/10.1155/S0161171203211030

International Journal of Mathematics and Mathematical Sciences

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Volume 2003 | Article ID 125751 | https://doi.org/10.1155/S0161171203211030

Periodic solution for a delayed three-species food-chain system with Holling type-II functional response

Qiming Liu¹and Rui Xu^1,2

Received02 Nov 2002

Abstract

A delayed three-species periodic food-chain system with Holling type-II functional response is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is derived for the existence of positive periodic solutions to the system.

Copyright

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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