Global Dynamics of Some Periodically Forced, Monotone Difference Equations

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Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures (2005, background): “Earlier [2] Cushing and Henson proved both statements for k = 2.”
A Note on Attenuant Cycles of Population Models with Periodic Carrying Capacity (2004, background): “Cushing and Henson [1] showed that if k 1⁄4 2 and K1 – K2; then the cycle {p1, p2} of Eq.”
Global stability of periodic orbits of non-autonomous difference equations and population biology (2003, methodology): “The Beverton-Holt equation has been studied extensively by Jim Cushing and Shandelle Henson [3, 4].”
An extension of Sharkovsky's theorem to periodic difference equations (2006, background): “steam in the late 90’s and early 2000 with the appearance of the papers by Cushing and Henson [4–6], Henson [21], Clark and Gross [2], Grinfeld, Knight and Lamba [20], Frank and Selgrade [18], Frank and Yakubu [19], Selgrade and Roberdo [32], Jia Li [29], Kon [26,27], Kocic [24], Elaydi and Sacker [”
A Periodically Forced Beverton-Holt Equation (2002, background): “(a) Equation (1) has a positive p-periodic solution yt .”
Population models in almost periodic environments (2007, methodology): “Examples of such periodically forced parametric models with time t in Z+ include the Beverton-Holt, Ricker, Smith-Slatkin and LPA models [9, 10], [13, 14, 15, 16], and [21, 22, 23, 24].”