Global dynamics and bifurcation of a perturbed Sigmoid Beverton-Holt difference equation

Autor:	Samra Moranjkić, Zehra Nurkanović, Mustafa R. S. Kulenović
Rok vydání:	2015
Předmět:	Beverton–Holt model Differential equation General Mathematics 010102 general mathematics Dynamics (mechanics) Mathematical analysis General Engineering Sigmoid function 01 natural sciences Stable manifold 010101 applied mathematics Attractor 0101 mathematics Bifurcation Mathematics
Zdroj:	Mathematical Methods in the Applied Sciences. 39:2696-2715
ISSN:	0170-4214
DOI:	10.1002/mma.3722
Popis:	T. Wanner We investigate global dynamics of the equation 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.
Databáze:	OpenAIRE
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