Journal of Mathematical Sciences: Advances and Applications[1] W. A. Coppel, The solution of equations by iteration, Mathematical
Proceedings of the Cambridge Philosophical Society 51(01) (1955),
41-43.
[2] P. Cull, Stability in one-dimensional models, Scientiae
Mathematicae Japonicae 58 (2003), 349-357.
[3] P. Cull, Enveloping implies global stability, In L. Allen, B.
Aulbach, S. Elaydi and R. Sacker, editors, Difference Equations
and Discrete Dynamical Systems, pages 170-181, Hackensack, NJ, 2005.
World Scientific.
[4] P. Cull, Population models: Stability in one dimension, Bulletin
of Mathematical Biology 69(3) (2007), 989-1017.
[5] P. Cull, K. Walsh and J. Wherry, Stability and instability in
one-dimensional population models, Scientiae Mathematicae Japonicae
Online pages 29-48, e-2008.
[6] J. Cushing and S. Henson, Global dynamics of some periodically
forced, monotone difference equations, Journal of Difference Equations
and Applications 7 (2001), 859-872.
[7] J. Cushing and S. Henson, A periodically forced Beverton-Holt
equation, Journal of Difference Equation and Applications 8 (2002),
1119-1120.
[8] S. Elaydi, Discrete Chaos: With Applications in Science and
Engineering, Chapman and Hall/CRC, Second Edition, 2008.
[9] S. Elaydi, R. Luis and H. Oliveira, Towards a theory of periodic
difference equations and its application to population dynamics, In
Mauricio Matos Peixoto, Alberto Adrego Pinto and David A. Rand,
editors, Dynamics, Games and Science I, pages 287-321. DYNA 2008, in
Honor of Maurcio Peixoto and David Rand, University of Minho, Braga,
Springer, March 2011. Series: Springer Proceedings in Mathematics,
Vol. 1.
[10] S. Elaydi and R. Sacker, Basin of attraction of periodic orbits
of maps in the real line, Journal of Difference Equations and
Applications 10 (2004), 881-888.
[11] S. Elaydi and R. Sacker, Global stability of periodic orbits of
nonautonomous difference equations and populations biology, J.
Differential Equations 208 (2005), 258-273.
[12] S. Elaydi and R. Sacker, Global stability of periodic orbits of
nonautonomous difference equations in population biology and the
Cushing-Henson conjectures, In Saber Elaydi, Gerasimos Ladas, Bernd
Aulbach and Ondrej Dosly, editors, Proceedings of the Eighth
International Conference on Difference Equations and Applications,
pages 113-126, Chapman and Hall/CRC, 2005.
[13] S. Elaydi and R. Sacker, Nonautonomous Beverton-Holt equations
and the Cushing-Henson conjectures, Journal of Difference Equations
and Applications 11(4-5) (2005), 337-346.
[14] S. Elaydi and R. Sacker, Skew-product Dynamical Systems:
Applications to Difference Equations, Proceedings of the Second Annual
Celebration of Mathematics, United Arab Emirates, 2005.
[15] S. Elaydi and R. Sacker, Periodic difference equations,
population biology and the Cushing-Henson conjectures, Mathematical
Biosciences 201 (2006), 195-207.
[16] V. Kocic, A note on the nonautonomous Beverton-Holt model,
Journal of Difference Equation and Applications 11(4-5) (2005),
415-422.
[17] R. Kon, A note on attenuant cycles of population models with
periodic carrying capacity, Journal of Difference Equation and
Applications 10(8) (2004), 791-793.
[18] E. Liz, Local stability implies global stability in some
one-dimensional discrete single-species models, Discrete and
Continuous Dynamical Systems-Series B 7(1) (2007), 191-199.
[19] A. Sharkovsky, Yu. Maistrenko and E. Romanenko, Difference
Equations and their Applications, Kluwer Academic Publishers, London,
1993.
[20] J. Rubió-Massegú and Víctor Mañosa, On the enveloping method
and the existence of global Lyapunov functions, Journal of Difference
Equations and Applications 13(11) (2007), 1029-1035.
[21] R. Sacker, A note on periodic Ricker map, Journal of Difference
Equations and Applications 13(1) (2007), 89-92.
[22] R. Sacker and J. Sell, Lifting properties in skew-product flows
with applications to differential equations, AMS Memoirs 11(190),
1977.
[23] S. Stevic, A Short Proof of the Cushing-Henson conjecture,
Discrete Dynamics in Nature and Society, Hindawi Publishing
Corporation, 2006.
[24] J. Wright, Periodic systems of population models and enveloping
functions, Computers and Mathematics with Applications 66 (2013),
2178-2195.
