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<p>This paper investigates the stability of traveling wave solutions in an infection-age structured epidemic model with external supplies. By employing the weighted-energy method and constructing suitable priori estimates, we establish that the traveling wave solutions are exponentially stable when the initial perturbations of the traveling wave solutions are relatively small in a weighted space. Finally, we use numerical simulations to verify this result.</p>

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Exponential stability of traveling waves for an infection-age structured epidemic model with external supplies

  • 期刊论文

  • 发表日期：

    2026年1月23日

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  • Yujia Zhang,
  • Yiming Tang,
  • Xin Wu,
  • Rong Yuan,
  • Zhaohai Ma

摘要

This paper investigates the stability of traveling wave solutions in an infection-age structured epidemic model with external supplies. By employing the weighted-energy method and constructing suitable priori estimates, we establish that the traveling wave solutions are exponentially stable when the initial perturbations of the traveling wave solutions are relatively small in a weighted space. Finally, we use numerical simulations to verify this result.