Dynamics and behavior of a higher order rational difference equation

We study the global result, boundedness, and periodicity of solutions of the difference equation \[xₙ₊₁ = a +{bxₙ₋ₗ + cxₙ₋ₖ}{dxₙ₋ₗ + exₙ₋ₖ}; n = 0; 1; ... ;\] where the parameters a; b; c; d, and e are positive real numbers and the initial conditions \(x₋ₜ; x₋ₜ₊₁; ...; x₋₁\) and \(x_0\) are positive real numbers where \(t = max\{l; k\}; l ≠ k\).