Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation

We investigate the local and global character of the equilibrium and the local stability of the period-two solution of the difference equation [Mathematical equations cannot be displayed here, refer to PDF] where the parameters β, γ, δ, B, C, D are nonnegative numbers which satisfy B + C + D \u3e 0 and the initial conditions x-1 and x0 are arbitrary nonnegative numbers such that Bxnxn-1 + Cx2n-1 + Dxn \u3e 0 for all n ≥ 0