Buedo Fernández, Sebastián2021-02-112021-02-202020Discrete and Continuous Dynamical Systems - Series B, August 2020, 25(8): 3171-3181. doi: 10.3934/dcdsb.20200561531-3492http://hdl.handle.net/10347/24400This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems Series B following peer review. The definitive publisher-authenticated version [S. Buedo-Fernández. Global attraction in a system of delay differential equations via compact and convex sets, Discrete Contin Dyn. Syst., Ser. B 25 (2020), 3171-3181] is available online at: [https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020056]We provide sufficient conditions for a concrete type of systems of delay differential equations (DDEs) to have a global attractor. The principal idea is based on a particular type of global attraction in difference equations in terms of nested, convex and compact sets. We prove that the solutions of the system of DDEs inherit the convergence to the equilibrium from an associated discrete dynamical systemeng© American Institute of Mathematical Sciences 2020CC-strong attractorsConvex and compact setsDelay differential equationDifference equationEquilibriumGlobal attractionStrong attractorsjournal article10.3934/dcdsb.20200561553-524Xopen access