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<p>In this study, we modify a neutral Nicholson’s blowflies model to incorporate periodic delays and coefficients. We employ various differential inequality analysis strategies, along with the fluctuation lemma, to set up two sufficient criteria that guarantee the existence and globally exponential stability of periodic solutions for the proposed equation. These results are illustrated numerically with two simulation examples. Additionally, our findings extend the existing results for the classical delayed Nicholson’s blowflies model.</p>

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Positive Periodic Stability to a Neutral Nicholson’s Blowflies Model

  • 期刊论文

  • 发表日期：

    2025年5月26日

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  • Chuangxia Huang,
  • Xiaodan Ding,
  • Qian Wang

摘要

In this study, we modify a neutral Nicholson’s blowflies model to incorporate periodic delays and coefficients. We employ various differential inequality analysis strategies, along with the fluctuation lemma, to set up two sufficient criteria that guarantee the existence and globally exponential stability of periodic solutions for the proposed equation. These results are illustrated numerically with two simulation examples. Additionally, our findings extend the existing results for the classical delayed Nicholson’s blowflies model.