Franco Leis, DanielGuiver, ChrisLogemann, HartmutPerán Mazón, Juan JacoboElsevier2025-06-252025-06-252024-06-14Franco, D., Guiver, C., Logemann, H., & Perán, J. (2024). Persistency and stability of a class of nonlinear forced positive discrete-time systems with delays. Physica D Nonlinear Phenomena, 467, 134260. https://doi.org/10.1016/j.physd.2024.1342600167-2789https://doi.org/10.1016/j.physd.2024.134260https://hdl.handle.net/20.500.14468/26918The registered version of this article, first published in “Physica D: Nonlinear Phenomena, 467 ( June 2024), 134260", is available online at the publisher's website: Universidad nacional de Educación a Distancia, https://doi.org/10.1016/j.physd.2024.134260Persistence, excitability and stability properties are considered for a class of nonlinear, forced, positive discrete-time systems with delays. As will be illustrated, these equations arise in a number of biological and ecological contexts. Novel sufficient conditions for persistence, excitability and stability are presented. Further, similarities and differences between the delayed equations considered presently and their corresponding undelayed versions are explored, and some striking differences are noted. It is shown that recent results for a corresponding class of positive, nonlinear delay-differential (continuous-time) systems do not carry over to the discrete-time setting. Detailed discussion of three examples from population dynamics is provided.eninfo:eu-repo/semantics/openAccess12 Matemáticas33 Ciencias Tecnológicas::3310 Tecnología industrial12 Matemáticas::1299 Otras especialidades matemáticasartículoDifference equationExcitabilityLur’e systemPersistencePositive systemStability Time delay