%0 Journal Article
%T Qualitative behavior of a rational difference equation
%A Qian Xiao
%A Qi-hong Shi
%J Advances in Difference Equations
%D 2011
%I Springer
%X This article is concerned with the following rational difference equation yn+1 = (yn + yn-1)/(p + ynyn-1) with the initial conditions; y-1, y0 are arbitrary positive real numbers, and p is positive constant. Locally asymptotical stability and global attractivity of the equilibrium point of the equation are investigated, and non-negative solution with prime period two cannot be found. Moreover, simulation is shown to support the results.
%K Global stability
%K attractivity
%K solution with prime period two
%K numerical simulation
%U http://www.advancesindifferenceequations.com/content/2011/1/6