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<p>This paper is mainly concerned with the (pseudo) <i>S</i>-asymptotically <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\((\omega ,c)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>ω</mi> <mo>,</mo> <mi>c</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-periodic dynamics of a generalized Nicholson’s blowflies model. Under some proper conditions, some new criteria are established for the existence and uniqueness of (pseudo) <i>S</i>-asymptotically <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\((\omega ,c)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>ω</mi> <mo>,</mo> <mi>c</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-periodic solutions and the exponential stability of such solutions to this model. The obtained results are also illustrated by numerical examples.</p>

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Investigations on S-asymptotically \((\omega ,c)\)-periodic dynamics of a generalized Nicholson’s blowflies model

  • 期刊论文

  • 发表日期：

    2025年9月8日

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  • Jinjin Che,
  • Yong-Kui Chang

摘要

This paper is mainly concerned with the (pseudo) S-asymptotically \((\omega ,c)\) ( ω , c ) -periodic dynamics of a generalized Nicholson’s blowflies model. Under some proper conditions, some new criteria are established for the existence and uniqueness of (pseudo) S-asymptotically \((\omega ,c)\) ( ω , c ) -periodic solutions and the exponential stability of such solutions to this model. The obtained results are also illustrated by numerical examples.