Table of Contents
Journal of Difference Equations
Volume 2015, Article ID 486985, 12 pages
Research Article

Stability of Nonhyperbolic Equilibrium Solution of Second Order Nonlinear Rational Difference Equation

1School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia
2Department of Basic Sciences, King Saud bin Abdulaziz University for Health Sciences, Riyadh 11426, Saudi Arabia

Received 4 January 2015; Accepted 17 February 2015

Academic Editor: Mustafa R. S. Kulenović

Copyright © 2015 S. Atawna et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This is a continuation part of our investigation in which the second order nonlinear rational difference equation , , where the parameters and , , , , are positive real numbers and the initial conditions , are nonnegative real numbers such that , is considered. The first part handled the global asymptotic stability of the hyperbolic equilibrium solution of the equation. Our concentration in this part is on the global asymptotic stability of the nonhyperbolic equilibrium solution of the equation.