Global behavior of a three-dimensional system of difference equations of order three

In this paper, we investigate the global behavior of the positive solutions of the system of difference equations uₙ₊₁=((α₁uₙ₋₁)/(β₁+γ₁vₙ₋₂ᵖ)), vₙ₊₁=((α₂vₙ₋₁)/(β₂+γ₂wₙ₋₂q)), wₙ₊₁=((α₃wₙ₋₁)/(β₃+γ₃uₙ₋₂ʳ)) for n∈ℕ₀ where the initial conditions u₋ᵢ,v₋ᵢ,w₋ᵢ (i=0,1,2) are non-negative real numbers and the parameters αⱼ,βⱼ,γⱼ (j=1,2,3) and p,q,r are positive real numbers, by extending some results in the literature.