Persona:
Perán Mazón, Juan Jacobo

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ORCID
0000-0001-5496-7362
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Perán Mazón
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Juan Jacobo
Nombre

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2020 - 20243
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Nivel de acceso: info:eu-repo/semantics/openAccess × Autor: Segura, Juan ×

Resultados de la búsqueda

Mostrando 1 - 3 de 3
  • Miniatura
    Publicación
    Long-run economic growth in the delay spatial Solow model
    (Taylor&Francis, 2022-09-01) Franco Leis, Daniel; Perán Mazón, Juan Jacobo; Segura, Juan
    This paper analyses the long-term dynamics of the Solow model with spatial dependence of the physical capital, time delay and pollution effect due to capital accumulation. Previous studies not including spatial dependence showed that the dynamics can be cyclic or chaotic, in which cases the description of the long-run system’s behaviour becomes difficult or unfeasible. We provide sufficient conditions for the existence of a delay-independent global attractor and an easy way to estimate it. We also introduce new and extend known results for the existence of a global attractor in the absence of spatial dependence. Additionally, we complement known global stability results for a family of difference equations with applications in different fields.
  • Miniatura
    Publicación
    New insights into the combined effect of dispersal and local1 dynamics in a two-patch population model
    (Elsevier, 2024-09-17) Franco Leis, Daniel; Perán Mazón, Juan Jacobo; Segura, Juan
    Understanding the effect of dispersal on fragmented populations has drawn the attention of ecologists and managers in recent years, and great efforts have been made to understand the impact of dispersal on the total population size. All previous numerical and theoretical findings determined that the possible response scenarios of the overall population size to increasing dispersal are monotonic or hump-shaped, which has become a common assumption in ecology. Against this, we show in this paper that many other response scenarios are possible by using a simple two-patch discrete-time model. This fact evidences the interplay of local dynamics and dispersal and has significant consequences from a management perspective that will be discussed.
  • Miniatura
    Publicación
    Stability for one-dimensional discrete dynamical systems
    (American Institute of Mathematical Sciences, 2020-02-01) Segura, Juan; Perán Mazón, Juan Jacobo
    We present a new method to study the stability of one-dimensional discrete-time models, which is based on studying the graph of a certain family of functions. The method is closely related to exponent analysis, which the authors introduced to study the global stability of certain intricate convex combinations of maps. We show that the new strategy presented here complements and extends some existing conditions for the global stability. In particular, we provide a global stability condition improving the condition of negative Schwarzian derivative. Besides, we study the relation between this new method and the enveloping technique.