Qualitative Behavior of Rational Difference Equation of Big Order

Figure 2

It shows the behavior of the solution of (9) with 𝑙=1, 𝑘=3, 𝑥₋₃=3, 𝑥₋₂=1, 𝑥₋₁=6, 𝑥₀=5, 𝑎=9, 𝑏=13, 𝑐=0.1, and 𝑑=2.