Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: H. El-Metwally, E. M. Elabbasy and M. Al-Kaff
Pages: [25] - [53]
Received Date: November 29, 2018; Revised February 09, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122025
We investigate the global dynamics of the equation
where the parameters 
and 
are nonnegative numbers with 
and the initial conditions 
and 
are arbitrary positive real numbers. The
equilibrium points of the considered equation are obtained and
classified whether stable or unstable. The boundedness, the global
stability and the periodicity of the solutions are investigated. Some
numerical examples are given to illustrate the obtained results.
asymptotic stability, global convergence, periodic solution, local stability, rational difference equation.
