複雑なネットワークにおける反証メカニズムを組み込んだダイナミック分数順のISDR噂伝播モデル
1Business School, University of Shanghai for Science and Technology, Shanghai, 200093, China. 201670077@st.usst.edu.cn.
Scientific reports
|August 24, 2025
まとめ
この研究は,分数順序のダイナミクスと,スケールフリーネットワークの反証メカニズムを使用した新しい噂の伝播モデルを導入します. このモデルは,噂の拡散を効果的に特徴付け,主要パラメータに基づいて,噂の無い状態または噂の存在する状態で安定性を示します.
科学分野:
- 複雑なシステム科学
- 数学モデリング
- ネットワーク科学
背景:
- 噂の拡散は社会秩序に重大な脅威をもたらす.
- 既存のモデルは,特に複雑なネットワークでは,噂のダイナミクスを完全に捉えるためのメカニズムを欠いています.
研究 の 目的:
- 断片的秩序の噂伝播モデル (ISDR) を提案し分析し,反証メカニズムを組み込む.
- ネットワーク構造とモデルのパラメータが噂の動態に与える影響を調査する.
- 分数式微積分の優位性と 噂のモデル化における反証を証明する.
主な方法:
- スケールフリーネットワークでの分数順序の感受性-感染-除去 (ISDR) 噂伝播モデルの開発.
- 基本複製数 (公式:テキストを参照) の導出と均衡点の分析.
- 噂の無い,そして噂の存在する均衡点のグローバル・アシンプトティック・スタビリティの数学分析
- 理論的発見を検証するための数値シミュレーション
主要な成果:
- 噂の伝播のダイナミクスを特徴づける基本的な複製番号 ([Formula: see text]) が導かれました.
- 騒音のない均衡点のグローバル・アシンプトティック・スタビリティは, [公式: テキストを参照] で証明された.
- 噂の平衡点のグローバル・アシンプトティック・スタビリティは, [公式:テキストを参照]で証明された.
- 分析により,分数順序のダイナミクスと反証メカニズムの優位性が確認されました.
結論:
- 提案されたISDRモデルは,スケールフリーネットワークでの噂の伝播ダイナミクスを正確に捉えます.
- 分数式微積分と反証メカニズムは モデルの予測力を高めます
- 断片的順序のシステムと噂の制御に対するネットワーク構造の影響について重要な洞察を提供します.
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