Global dynamics and bifurcation of a perturbed Sigmoid Beverton–Holt difference equation
Date of Original Version
T. Wanner We investigate global dynamics of the equation (Formula presented.) 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.
Mathematical Methods in the Applied Sciences
Kulenović, M. R., S. Moranjkić, and Z. Nurkanović. "Global dynamics and bifurcation of a perturbed Sigmoid Beverton–Holt difference equation." Mathematical Methods in the Applied Sciences 39, 10 (2016): 2696-2715. doi:10.1002/mma.3722.