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<p>Research indicates that online game addiction can result in health-damaging disorders and propagate via social interactions. This paper presents a GPAE model for online game spread on a scale-free network, incorporating key nodes. The model assesses local impact via node degree distribution and global impact through collective node influence. We obtain the basic reproduction number <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_90173_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{R}_{0}\)</EquationSource> </InlineEquation> and equilibrium points. When <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_90173_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{R}_{0}&lt;1\)</EquationSource> </InlineEquation>, the model exhibits a stable state with no players, and for <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_90173_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{R}_{0}&gt;1\)</EquationSource> </InlineEquation>, a unique positive equilibrium point emerges, leading to a persistent spread of online game addiction. Numerical simulations and real-world data validate the model, offering enhanced understanding of the spread dynamics of game addiction in complex networks.</p>

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An online game spread model combining key nodes in scale-free networks

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年2月26日

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  • Zongzhao Han,
  • Qian Yu,
  • Qingfeng Chen,
  • Naixu He

摘要

Research indicates that online game addiction can result in health-damaging disorders and propagate via social interactions. This paper presents a GPAE model for online game spread on a scale-free network, incorporating key nodes. The model assesses local impact via node degree distribution and global impact through collective node influence. We obtain the basic reproduction number \(\:{R}_{0}\) and equilibrium points. When \(\:{R}_{0}<1\) , the model exhibits a stable state with no players, and for \(\:{R}_{0}>1\) , a unique positive equilibrium point emerges, leading to a persistent spread of online game addiction. Numerical simulations and real-world data validate the model, offering enhanced understanding of the spread dynamics of game addiction in complex networks.