RT Journal Article
T1 A new formula to get sharp global stability criteria for one-dimensional discrete-time models
A1 Liz Marzán, Eduardo
A1 Buedo Fernández, Sebastián
K1 Global stability
K1 Discrete-time model
K1 Mackey-Glass equation
K1 Gamma-model
K1 Schwarzian derivative
AB We present a new formula that makes it possible to get sharp global stability results for one-dimensional discrete-time models in an easy way. In particular, it allows to show that the local asymptotic stability of a positive equilibrium implies its global asymptotic stability for a new family of difference equations that finds many applications in population dynamics, economic models, and also in physiological processes governed by delay differential equations. The main ingredients to prove our results are the Schwarzian derivative and some dominance arguments
PB Springer
SN 1575-5460
YR 2019
FD 2019-01-10
LK http://hdl.handle.net/10347/19096
UL http://hdl.handle.net/10347/19096
LA eng
NO Liz, E. & Buedo-Fernández, S. A new formula to get sharp global stability criteria for one-dimensional discrete-time models. Qual. Theory Dyn. Syst. 18,813-824 (2019). doi: 10.1007/s12346-018-00314-4
NO This is a post-peer-review, pre-copyedit version of an article published in Qualitative Theory of Dynamical Systems. The final authenticated version is available online at: https://doi.org/10.1007/s12346-018-00314-4
NO The research of Sebastián Buedo-Fernández has been partially supported by Ministerio de Educación, Cultura y Deporte of Spain (Grant No. FPU16/04416), Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia (Grant Nos. GRC2015/004 and R2016/022), and Agencia Estatal de Investigación of Spain (Grant MTM2016-75140-P, cofunded by European Community fund FEDER)
DS Minerva
RD 25 abr 2026