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<p>A modified Nicholson’s blowflies equation accompanying distinct time-varying delays is established in this paper. By applying some novel analytical methods for differential inequalities and the fluctuation lemma, a sufficient criterion is obtained to assure the stability and global exponential attractivity of the positive steady state to the addressed delayed reaction-diffusion equation (DRDE) with Neumann boundary condition, which completely refine and generalize certain existing works. Additionally, a numerical simulation is given to verify the correctness of the theoretical results.</p>

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Global exponential stability analysis for a delayed diffusive Nicholson’s blowflies equation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月5日

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  • Hao Qian,
  • Bingwen Liu

摘要

A modified Nicholson’s blowflies equation accompanying distinct time-varying delays is established in this paper. By applying some novel analytical methods for differential inequalities and the fluctuation lemma, a sufficient criterion is obtained to assure the stability and global exponential attractivity of the positive steady state to the addressed delayed reaction-diffusion equation (DRDE) with Neumann boundary condition, which completely refine and generalize certain existing works. Additionally, a numerical simulation is given to verify the correctness of the theoretical results.