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, x0, y-1, y0 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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