Persona:
Franco Leis, Daniel

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ORCID
0000-0002-9819-5664
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Franco Leis
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Daniel
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2024 - 20252
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Nivel de acceso: info:eu-repo/semantics/openAccess × Autor: Logemann, Hartmut ×

Resultados de la búsqueda

Mostrando 1 - 2 de 2
  • Miniatura
    Publicación
    Persistency and stability of a class of nonlinear forced positive discrete-time systems with delays
    (Elsevier, 2024-06-14) Franco Leis, Daniel; Guiver, Chris; Logemann, Hartmut; Perán Mazón, Juan Jacobo; Elsevier
    Persistence, 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.
  • Miniatura
    Publicación
    Dynamic properties of a class of forced positive higher-order scalar difference equations: persistency, stability and convergence
    (Taylor and Francis Group, 2025-02-17) Franco Leis, Daniel; Guiver, Chris; Logemann, Hartmut; Perán Mazón, Juan Jacobo; https://orcid.org/0000-0001-5496-7362
    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.