Global behavior for a fourth-order rational difference equation ✩

In this paper, we use a method different from the known literature to investigate the global behavior of the following fourth-order rational difference equation: xn+1 = xn−1xn−2xn−3 + xn−1 + xn−2 + xn−3 + a xn−1xn−2 + xn−1xn−3 + xn−2xn−3 + 1 + a ,n = 0, 1, 2 ,...,

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