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<p>In this paper, we offer a novel methodology for studying classical age-structured population models with diffusion. Specifically, we show that many dynamical properties of these equations are coded through a suitable discrete equation in one dimension. This “reduction of dimension" allows us to derive sharp criteria for global attraction. The analysis of particular examples shows that our results are achieved under very weak and verifiable conditions.</p>

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Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月6日

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  • Alfonso Ruiz-Herrera,
  • Tarik Mohammed Touaoula

摘要

In this paper, we offer a novel methodology for studying classical age-structured population models with diffusion. Specifically, we show that many dynamical properties of these equations are coded through a suitable discrete equation in one dimension. This “reduction of dimension" allows us to derive sharp criteria for global attraction. The analysis of particular examples shows that our results are achieved under very weak and verifiable conditions.