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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 797542, 8 pages
Research Article

Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response

1College of Information Science and Technology, Hunan Agricultural University, Changsha 410128, China
2Department of Electronic and Information Technology, Jiangmen Polytechnic, Jiangmen 529000, China
3College of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, China

Received 31 May 2014; Revised 19 August 2014; Accepted 28 August 2014

Academic Editor: Zbigniew Leśniak

Copyright © 2015 Dehong Ding et al. 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.


This paper is concerned with a discrete predator-prey model with Holling II functional response and delays. Applying Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, we obtain some sufficient conditions for the existence global asymptotic stability of positive periodic solutions of the model.