Abstract
We study the convergence of the positive solutions of the system of the following two difference equations: where K is a positive integer, the parameters A,B, α, β and the initial conditions are positive real numbers. Our results generalize well known results in [1,2].
Highlights
Difference equations and the system of difference equations play an important role in the analysis of mathematical models of biology, physics and engineering
The study of dynamical properties of nonlinear difference equations and the system of difference equations have been an area of intense interest in recent years
In [1], Kurbanlı, Ģinar and Yalçinkaya studied the behavior of the positive solutions of the following system of difference equations xn 1
Summary
Difference equations and the system of difference equations play an important role in the analysis of mathematical models of biology, physics and engineering. In [1], Kurbanlı, Ģinar and Yalçinkaya studied the behavior of the positive solutions of the following system of difference equations xn 1 0. In [2], Stevo Stević investigated the system of the following difference equations xn 1 0. Motivated by the above studies, in this note, we consider the system of the following difference equations xn 1
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