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1. 7. 2016.
Global dynamics and bifurcation of a perturbed Sigmoid Beverton–Holt difference equation
T. Wanner We investigate global dynamics of the equation xn+1=xn−12bxnxn−1+cxn−12+f,n=0,1,2,…, where the parameters b,c, and f are nonnegative numbers with condition b + c > 0,f ≠ 0 and the initial conditions x−1,x0 are arbitrary nonnegative numbers such that x−1+x0>0. We obtain precise characterization of basins of attraction of all attractors of this equation and describe the dynamics in terms of bifurcations of period‐two solutions. Copyright © 2015 John Wiley & Sons, Ltd.