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Franco Leis, Daniel

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0000-0002-9819-5664
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Franco Leis
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  • 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.
  • 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.