Periodic solutions of a delayed predator-prey model with stage structure for predator

Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.

doi:https://doi.org/10.1155/S1110757X04308090

Journal of Applied Mathematics

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Volume 2004 | Article ID 798373 | https://doi.org/10.1155/S1110757X04308090

Periodic solutions of a delayed predator-prey model with stage structure for predator

Rui Xu,^1,2M. A. J. Chaplain,²and F. A. Davidson²

Received28 Aug 2003

Revised02 Feb 2004

Abstract

A periodic time-dependent Lotka-Volterra-type predator-prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.

Copyright

Copyright © 2004 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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