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<p>In this article, we investigate the propagation dynamics of a scalar age-structured model featuring nonlocal dispersal, extending the framework established by Ducrot and Kang (Eur J Appl Math 36:856–878, 2025). Building upon this foundation, we first establish the exponential stability of traveling wave solutions. Subsequently, we obtain a result that demonstrates a sharp contrast with conventional findings for such models, where dispersal kernels are typically assumed to exhibit slow decay—a condition generally leading to infinite spreading speeds. Furthermore, we precisely characterize the acceleration rate of propagation.</p>

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Propagation dynamics for a scalar age-structured model

  • 期刊论文

  • 发表日期：

    2026年3月17日

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  • Dandan Sun,
  • Wan-Tong Li,
  • Ming-Zhen Xin

摘要

In this article, we investigate the propagation dynamics of a scalar age-structured model featuring nonlocal dispersal, extending the framework established by Ducrot and Kang (Eur J Appl Math 36:856–878, 2025). Building upon this foundation, we first establish the exponential stability of traveling wave solutions. Subsequently, we obtain a result that demonstrates a sharp contrast with conventional findings for such models, where dispersal kernels are typically assumed to exhibit slow decay—a condition generally leading to infinite spreading speeds. Furthermore, we precisely characterize the acceleration rate of propagation.