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ON THE QUALITATIVE BEHAVIOURS OF A SECOND ORDER QUADRATIC RATIONAL DIFFERENCE EQUATION
Author(s) : I. M. Alsulami and E. M. Elsayed
Pages : [153] - [172]
Received : December 7, 2021; Revised April 9, 2022
Communicated by : Professor Emrullah Yasar
Pages : [153] - [172]
Received : December 7, 2021; Revised April 9, 2022
Communicated by : Professor Emrullah Yasar
Abstract
The aim of this article is to give a clear analyze of local and global stability and periodicity of the solutions of the following quadratic rational difference equation:
where the initial conditions and are nonzero real numbers and the coefficients and are positive. Also, we confirm our theoretical results numerically by using MATLAB software.
Keywords
periodicity, stability, equilibrium point, global asymptotic, difference equations.