A New Formula to Get Sharp Global Stability Criteria for One-Dimensional Discrete-Time Models
- Eduardo, Liz
- Buedo-Fernández, Sebastián
ISSN: 1575-5460
Año de publicación: 2019
Volumen: 18
Número: 3
Páginas: 813-824
Tipo: Artículo
Otras publicaciones en: Qualitative theory of dynamical systems
Resumen
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.
Información de financiación
Financiadores
-
Ministerio de Educaci?n, Cultura y Deporte
- MTM2017-85054-C2-1-P
- MTM2016-75140-P