Franco Leis, DanielGuiver, ChrisLogemann, HartmutPerán Mazón, Juan Jacobo2025-06-242025-06-242025-02-17Daniel Franco, Chris Guiver, Hartmut Logemann & Juan Perán (2025) Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence, Journal of Difference Equations and Applications, 31:6, 790-824, DOI: 10.1080/10236198.2025.24615301023-6198, ISSNe1563-5120https://doi.org/10.1080/10236198.2025.2461530https://hdl.handle.net/20.500.14468/26905The registered version of this article, first published in “Journal of Difference Equations and Applications (2025), VOL. 31, NO. 6, 790–824", is available online at the publisher's website: Taylor and Francis Group, https://doi.org/10.1080/10236198.2025.2461530 La versión registrada de este artículo, publicado por primera vez en “Journal of Difference Equations and Applications (2025), VOL. 31, NO. 6, 790–824", está disponible en línea en el sitio web del editor: Taylor and Francis Group, https://doi.org/10.1080/10236198.2025.2461530Persistency, stability and convergence properties are considered for a class of nonlinear, forced, positive, scalar higher-order difference equations. Sufficient conditions for these properties to hold are derived, broadly in terms of the interplay of the linear and nonlinear components of the difference equations. The convergence results presented include asymptotic response properties when the system is subject to (asymptotically) almost periodic forcing. The equations under consideration arise in a number of ecological and biological contexts, with the Allen-Clark population model appearing as a special case. We illustrate our results by several examples from population dynamics.esinfo:eu-repo/semantics/openAccess12 Matemáticas3310 Tecnología industrialartículoAllen-Clark modelalmost periodic forcingdifference equationpersistencepositive Lur’e systemstability