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has been cited by the following article:

• TITLE: On the Behavior of Positive Solutions of a Difference Equations System xn+1={yn-2+yn-3}/xn, yn+1={xn-2+xn-3}/yn

  AUTHORS: Decun Zhang, Wenqiang Ji, Liying Wang, Xiaobao Li

  KEYWORDS: Difference Equation; System; Monotonicity; Periodicity; Oscillatory

  JOURNAL NAME: Applied Mathematics, Vol.4 No.9A, September 6, 2013

  ABSTRACT: Motivated by an open problem in the literature “Dynamics of Second Order Rational Difference Equations with Open Problems and Conjecture”, we introduce a difference equation system: xn+1={yn-2+yn-3}/xn, yn+1={xn-2+xn-3}/yn , n=o, 1 ...* Where xi, yi ∈（0, ∞）， i=-3, -2, -1, 0. We try to find out some conditions such that the solution of system converges to periodic solution. This model can be applied to the two species competition and population biology.