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Abstract <p> This paper examines the dynamical systems of the Sigmoid Beverton-Holt model with overlapping generations in the projective line <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12607_2025_1112_Article_IEq2.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="48" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb P}^1({\mathbb Q}_p)\)</EquationSource> </InlineEquation>. In particular, an in-depth analysis of the corresponding fixed-points and the dynamics surrounding them is carried out. An extensive array of illustrative examples will also be discussed. </p>

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Analysis of the Dynamics of the Sigmoid Beverton-Holt Model with Overlapping Generations in the Projective Line \({\mathbb P}^1({\mathbb Q}_p)\)

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Toka Diagana,
  • Bertin Diarra

摘要

Abstract

This paper examines the dynamical systems of the Sigmoid Beverton-Holt model with overlapping generations in the projective line \({\mathbb P}^1({\mathbb Q}_p)\) . In particular, an in-depth analysis of the corresponding fixed-points and the dynamics surrounding them is carried out. An extensive array of illustrative examples will also be discussed.