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2025-02-17
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info:eu-repo/semantics/openAccess
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Taylor and Francis Group
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Resumen
Persistency, 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.
Descripción
The 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/10.1080/10236198.2025.2461530
Categorías UNESCO
Palabras clave
Allen-Clark model, almost periodic forcing, difference equation, persistence, positive Lur’e system, stability
Citación
Daniel 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: 10.1080/10236198.2025.2461530
Centro
E.T.S. de Ingenieros Industriales
Departamento
Matemática Aplicada I