title: On the System of High Order Rational Difference Equations.
abstract: This paper is concerned with the boundedness, persistence, and global asymptotic behavior of positive solution for a system of two rational difference equations x n+1 = A + (x n /∑ i=1 (k) y n-i ), y n+1 = B + (y n /∑ i=1 (k) x n-i ),  n = 0,1,…, k ∈ {1,2,…}, where A, B ∈ (0, ∞), x -i ∈ (0, ∞), and y -i ∈ (0, ∞), i = 0,1, 2,…, k.
authors.affiliation: Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, China.
authors.forename: Qianhong
authors.initials: Q
authors.lastname: Zhang
authors.affiliation: Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, China.
authors.forename: Wenzhuan
authors.initials: W
authors.lastname: Zhang
authors.affiliation: School of Science, Guilin University of Technology, Guilin, Guangxi 541000, China.
authors.forename: Yuanfu
authors.initials: Y
authors.lastname: Shao
authors.affiliation: Department of Mathematics and Physics, Hunan Institute of Technology, Hengyang, Hunan 421002, China.
authors.forename: Jingzhong
authors.initials: J
authors.lastname: Liu