Abstract
In this paper, we study the global stability of the difference equation x n= a+bx n−1+cx n−1 2 d−x n−2 , n=1,2,…, where a, b⩾0 and c, d>0. We show that one nonnegative equilibrium point of the equation is a global attractor with a basin that is determined by the parameters, and every positive solution of the equation in the basin exponentially converges to the attractor.
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