Buedo Fernández, SebastiánLiz Marzán, Eduardo2018-12-272018-12-272018-06-26Buedo-Fernández, S., & Liz, E. (2018). On the stability properties of a delay differential neoclassical model of economic growth. Electronic Journal Of Qualitative Theory Of Differential Equations, (43), 1-14. doi: 10.14232/ejqtde.2018.1.43http://hdl.handle.net/10347/18022The main aim of this paper is to establish sharp global stability conditions for the positive equilibrium of a well-known model of economic growth when a delay is considered in the production function. In order to deal with a broad scenario, we establish some results of global attraction for a general family of differential equations with variable delay; for it, we use the notion of strong attractor, which allows us to simplify the proofs, as well as to generalize previous results. Our study reveals that sometimes production delays are not able to destabilize the positive equilibrium, even if they are large. In other cases, the stability properties of the equilibrium depend on the interaction between the delay and other relevant model parameters, leading sometimes to stability windows in the bifurcation diagrameng© 2018 by the authors. Published by The Electronic Journal of Qualitative Theory of Differential Equations. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)http://creativecommons.org/licenses/by/4.0/Delay differential equationNeoclassical growth modelGlobal stabilityStability switchesLasota equationGamma-Ricker mapjournal article10.14232/ejqtde.2018.1.431417-3875open access