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Yayın Global behavior of some difference equations(Maltepe Üniversitesi, 2019) El-Merwally, Hamdy A.; Al-kaff, M.Here we investigate the boundedness, the global stability, the rate of convergence and the periodicity for the solutions of the difference equation xn+1 = ?n + axn xn?1 + bxn?1 xn , n = 0, 1, ..., (I) where a, b, x?1 and x0 are arbitrary positive real numbers and {?n} is a sequence of real numbers. Eq.(I) has the unique positive equilibrium point ¯x = ? + a + b.