# ASYMPTOTIC BEHAVIOR OF A SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS

### Abstract

Asymptotic behavior of a system of nonlinear difference equations is the shape of its solution around the equilibrium point. In this paper, we investigate the asymptotic behavior of the equilibrium point of a system of nonlinear difference equations

where A ∈ (0,∞) and x_{-1}, x_{0}, y_{-1}, y_{0} are positive numbers. By the linearization method and the comparative method, we have studied the stability of the equilibrium point under certain parametric conditions. Some numerical examples are given to illustrate the results we obtained.

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*UTEHY Journal of Science and Technology*,

*31*, 53-58. Retrieved from https://tapchi.utehy.edu.vn/index.php/jst/article/view/477