加权异质网络上具有多语言环境的谣言传播建模

罗续鹏; 蒋海军; 陈珊珊

doi:10.13568/j.cnki.651094.651316.2021.10.22.0002

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加权异质网络上具有多语言环境的谣言传播建模

数理科学 | 更新时间：2026-01-21

- 加权异质网络上具有多语言环境的谣言传播建模
- 加权异质网络上具有多语言环境的谣言传播建模
- 新疆大学学报（自然科学版中英文） 2022年39卷第4期页码：393-400
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金项目（U1703262;61866036;62006196;61963033;62163035）;天山创新团队项目（2020D14017）
- DOI：10.13568/j.cnki.651094.651316.2021.10.22.0002
  中图分类号： O157.5
- 纸质出版：2022
- 稿件说明：
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[1]罗续鹏,蒋海军,陈珊珊.加权异质网络上具有多语言环境的谣言传播建模[J].新疆大学学报(自然科学版)(中英文),2022,39(04):393-400.
[1]罗续鹏,蒋海军,陈珊珊.加权异质网络上具有多语言环境的谣言传播建模[J].新疆大学学报(自然科学版)(中英文),2022,39(04):393-400. DOI： 10.13568/j.cnki.651094.651316.2021.10.22.0002.

DOI：10.13568/j.cnki.651094.651316.2021.10.22.0002.

摘要

在多语言环境和加权异质网络中研究了具有交叉传播的I2SR (Ignorants-Spreaders-1-Spreader-2-Removers)时滞谣言传播模型.首先，通过分析该模型对应的平均场方程推导出确保谣言传播平衡点存在的基本再生数R0.其次，利用Lyapunov泛函方法和LaSalle不变原理证明无谣言平衡点的全局渐近稳定性.最后，通过两个数值例子验证所得结果的有效性.

Abstract

An improved I2SR(Ignorants-Spreaders-1-Spreader-2-Removers) delayed rumor propagation model with cross-propagation is studied in multilingual environment and weighted heterogeneous networks. Firstly

by analyzing the corresponding mean-field equations of this model

the basic reproduction number R0 is derived to ensure the existence of the rumor propagation equilibrium. Secondly

the Lyapunov functional method and the LaSalle's invariance principle are applied to prove the global asymptotic stability of the rumor-free equilibrium.Finally

some numerical examples are shown to demonstrate the validity of the derived results.

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