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International Journal of Mathematics and Mathematical Sciences
Volume 2011, Article ID 970763, 18 pages
http://dx.doi.org/10.1155/2011/970763
Research Article

Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses

1Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004, China
2School of Mathematics and Physics, Nanhua University, Hengyang 421001, China

Received 8 July 2011; Accepted 27 October 2011

Academic Editor: Aloys Krieg

Copyright © 2011 Changjin Xu and Maoxin Liao. 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.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Trinh Tuan Anh, “Positive periodic solutions of discrete Lotka-Volterra cooperative systems with delays,” Acta Mathematica Vietnamica, vol. 38, no. 3, pp. 461–470, 2013. View at Publisher · View at Google Scholar
  • Neslihan Nesliye Pelen, A. Feza Güvenilir, and Billur Kaymakçalan, “Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response,” Advances in Difference Equations, vol. 2016, no. 1, 2016. View at Publisher · View at Google Scholar
  • Neslihan Nesliye Pelen, Ayşe Feza Güvenilir, and Billur Kaymakçalan, “Behavior of the Solutions for Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on Periodic Time Scales in Shifts,” Abstract and Applied Analysis, vol. 2016, pp. 1–9, 2016. View at Publisher · View at Google Scholar
  • Neslihan Nesliye Pelen, “Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems,” Journal of Mathematics, vol. 2016, pp. 1–11, 2016. View at Publisher · View at Google Scholar