In this paper we investigate the global asymptotic stability of the recursi
ve sequence x (n +) (1) = (alpha - betax(n))/(gamma + x(n - 1)), n = 0,1,..
, where alpha, beta, gamma greater than or equal to 0. We show that the uni
que positive equilibrium point of the equation is a global attractor with a
basin that depends on the conditions posed on the coefficients. (C) 2001 A
cademic Press.