加权异质网络上具有多语言环境的谣言传播建模

Modeling Rumor Propagation with Multilingual Environment over Weighted Heterogeneous Networks

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.

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.