On the system of high order rational difference equations
Summary: This paper is concerned with the boundedness, persistence, and global asymptotic behavior of positive solution for a system of two rational difference equations \(x_{n + 1} = A +(x_n / \sum_{i = 1}^k y_{n - i})\), \(y_{n + 1} = B +(y_n / \sum_{i = 1}^k x_{n - i})\), \(n = 0,1, \ldots, k \in \{1,2, \ldots \}\), where \(A, B \in \left(0, \infty\right)\), \(x_{- i} \in \left(0, \infty\right)\), and \(y_{- i} \in \left(0, \infty\right)\), \(i = 0,1, 2, \ldots, k \).
scientific article; zbMATH DE number 7027201
scientific article