Characters of a Class of a Rational Difference Equation xn+1=(axnxn-1)/(bxn-1-cxn)

This paper is concerned with the following rational difference equation x
_n+1
= ax
_n
x
_n-1
/(bx
_n-1
-cx
_n
) , with the initial conditions x-1,x0 ϵ(0,+∞), and a,b,c ϵ R+. Locally asymptotically stability, global attractivity and boundedness character of the equilibrium point of the equation are investigated. Moreover, simulation is shown to support the results.