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<p>In this paper, we consider a periodic diffusive Nicholson’s blowflies equation involving multiple time-varying delays. With the help of some novel differential inequality analyses and the fluctuation lemma, we obtain a sufficient criterion to assure the stability and global exponential attractivity of positive periodic solutions to the addressed delayed reaction-diffusion equation (DRDE) subject to the Neumann boundary condition, which fully refine and generalize some existing ones. Finally, a numerical simulation is given to verify the correctness of the theoretical results.</p>

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Periodic dynamics in a delayed diffusive Nicholson’s blowflies equation

  • 期刊论文

  • 发表日期：

    2026年3月19日

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  • Chuangxia Huang,
  • Bingwen Liu

摘要

In this paper, we consider a periodic diffusive Nicholson’s blowflies equation involving multiple time-varying delays. With the help of some novel differential inequality analyses and the fluctuation lemma, we obtain a sufficient criterion to assure the stability and global exponential attractivity of positive periodic solutions to the addressed delayed reaction-diffusion equation (DRDE) subject to the Neumann boundary condition, which fully refine and generalize some existing ones. Finally, a numerical simulation is given to verify the correctness of the theoretical results.