Global behavior of a third order difference equation

The aim of this paper is to investigate the global stability and periodic nature of the positive solutions of the difference equation[x_{n+1}=frac{A+Bx_{n-1}}{C+Dx_{n}x_{n-2}},qquad n=0,1,2,ldots] where $A,B$ are nonnegative real numbers and$C, D>0$.