同质网络中具有时滞的谣言传播模型的动力学分析

童新如; 蒋海军; 陈向勇

doi:10.13568/j.cnki.651094.651316.2022.02.26.0001

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同质网络中具有时滞的谣言传播模型的动力学分析

更新时间：2026-01-21

- 同质网络中具有时滞的谣言传播模型的动力学分析
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 39, Issue 6, Pages: 663-670(2022)
- 作者机构：
  
  1. 新疆大学数学与系统科学学院
  2. 伊犁师范大学数学与统计学院
  3. 临沂大学自动化与电气工程学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2022.02.26.0001
  CLC： G206;C912.63;O157.5
- Published：2022
- 稿件说明：
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[1]童新如,蒋海军,陈向勇.同质网络中具有时滞的谣言传播模型的动力学分析[J].新疆大学学报(自然科学版)(中英文),2022,39(06):663-670.
[1]童新如,蒋海军,陈向勇.同质网络中具有时滞的谣言传播模型的动力学分析[J].新疆大学学报(自然科学版)(中英文),2022,39(06):663-670. DOI： 10.13568/j.cnki.651094.651316.2022.02.26.0001.

DOI：10.13568/j.cnki.651094.651316.2022.02.26.0001.

摘要

综合考虑谣言复发、复发时滞以及个体行为因素，建立了同质网络中具有时滞的SHILR （易感者-犹豫者-传播者-潜伏者-恢复者）谣言传播模型．首先，基于平均场方程和下一代矩阵法，给出了模型的基本再生数．其次，利用Lyapunov方法和LaSalle不变原理分析了模型平衡点的全局渐近稳定性．此外，还讨论了时滞对谣言传播的影响．最后，给出数值模拟的实例来验证理论结果．

Abstract

Considering the rumor recurrence

time delay and individual behaviors comprehensively

a novel SHILR(Susceptible-Hesitating-Infected-Latent-Recovered) rumor propagation model with time delay is established in homogeneous networks. Firstly

the basic reproduction number of the model is obtained based on the mean field equation and the next generation matrix method. Secondly

the global asymptotic stabilities of the equilibria are analyzed through applying Lyapunov method and LaSalle's invariance principle. Additionally

the influence of time delay on rumor propagation is also discussed. Finally

some numerical simulation examples are given to verify the correctness of the theoretical results.

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