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摘要
This paper is concerned with the following nonlinear difference equation x(n+1) = Sigma(l)(i=1) A(st)X(n-st)/(B + C Pi(k)(j=1)x(n-tl)) + D-xn, n = 0, 1, ..., where the initial data x(-m), x(-m+1), ..., x(-1), x(0) is an element of R+, m = max[s(1), ..., s(l),t(1), ..., t(k)], s(1), ..., s(l), t(1), ..., t(k) are nonnegative integers, and A(si), B, C, and D are arbitrary positive real numbers. We give sufficient conditions under which the unique equilibrium (x) over bar = 0 of this equation is globally asymptotically stable, which extends and includes corresponding results obtained in the work of Cinar (2004), Yang et al. (2005), and Berenhaut et al. (2007). In addition, some numerical simulations are also shown to support our analytic results.
