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数据分析与知识发现  2021, Vol. 5 Issue (12): 74-87     https://doi.org/10.11925/infotech.2096-3467.2021.0402
  研究论文 本期目录 | 过刊浏览 | 高级检索 |
结合巴斯模型及SIR模型的微信公众号内容双层传播模型*
杨思洛(),肖敖夏
武汉大学信息管理学院 武汉 430072
武汉大学科学评价研究中心 武汉 430072
Two-layer Transmission Model of WeChat Public Account with Bass Model and SIR Model
Yang Siluo(),Xiao Aoxia
School of Information Management, Wuhan University, Wuhan 430072, China
Research Center for Chinese Science Evaluation (RCCSE), Wuhan University, Wuhan 430072, China
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摘要 

【目的】 引入巴斯模型,弥补当前微信公众号内容传播研究中忽略其双层传播模式的不足。【方法】 通过对微信公众号内容传播过程的分析,提出结合巴斯模型和SIR模型的微信公众号内容传播模型。利用“图情会”公众号数据对模型拟合情况进行KS检验。利用Python语言对模型中参数及模型初始条件进行分析。【结果】 模型总体上能够对公众号内容的传播过程进行模拟。已分享过的读者不再进行分享的概率,以及非公众号订阅用户从他人转发分享中接触到信息的概率对公众号内容在目标群体中的扩散范围有较大影响。【局限】 本模型没有结合复杂网络模型作进一步分析,验证数据缺少阅读量“10万+”文章数据。【结论】 本研究提出的模型能够对微信公众号内容的传播监控及舆情管理提供一定的理论支撑。

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杨思洛
肖敖夏
关键词 微信公众号传播模型巴斯扩散模型SIR模型    
Abstract

[Objective] This paper constructs a double-layer transmission model for the content transmission of WeChat public accounts with the help of Bass model. [Methods] First, we analyzed the transmission process of the WeChat official account articles. Then, we developed a two-layer model combining the Bass diffusion model and the SIR model. Third, we conducted KS test using data from the public account of “Library and Information Conference”. Finally, we analyzed the parameters and the initial conditions of the model with Python. [Results] The new model simulated the transmission process of the public account contents. The probability of readers no longer sharing, as well as the non-subscribers’ exposure to information from other's sharing, have greater impacts on the dissemination of contents. [Limitations] This model did not include the complex network model for further analysis and did not study articles accessed by more than 100,000 times. [Conclusions] The proposed model could help us monitor the dissemination of WeChat public account contents and manage online opinion.

Key wordsWeChat Public Account    Transmission Model    Bath Diffusion Model    SIR Model
收稿日期: 2021-04-25      出版日期: 2022-01-20
ZTFLH:  G206  
基金资助:* 国家社会科学基金项目(18BTQ079)
通讯作者: 杨思洛,ORCID:0000-0003-3228-1102     E-mail: 58605025@qq.com
引用本文:   
杨思洛, 肖敖夏. 结合巴斯模型及SIR模型的微信公众号内容双层传播模型*[J]. 数据分析与知识发现, 2021, 5(12): 74-87.
Yang Siluo, Xiao Aoxia. Two-layer Transmission Model of WeChat Public Account with Bass Model and SIR Model. Data Analysis and Knowledge Discovery, 2021, 5(12): 74-87.
链接本文:  
https://manu44.magtech.com.cn/Jwk_infotech_wk3/CN/10.11925/infotech.2096-3467.2021.0402      或      https://manu44.magtech.com.cn/Jwk_infotech_wk3/CN/Y2021/V5/I12/74
Fig.1  SIR模型
Fig.2  微信公众号内容传播链条
Fig.3  模型个体状态划分
Fig.4  结合巴斯模型及SIR模型的微信公众号双层传播模型
日期 公众号渠道阅读人数 非公众号渠道阅读人数 分享
人数
潜在转发者数(总阅读人数–分享人数)
2019年12月20日 313 583 93 803
2019年12月21日 29 161 18 172
2019年12月22日 17 67 9 75
2019年12月23日 10 29 5 34
2019年12月24日 1 14 2 13
2019年12月25日 5 21 6 20
2019年12月26日 3 15 3 15
Table 1  文章发出7天内传播数据
p q β γ
0.25 0.35 0.65 0.45
Table 2  最佳拟合参数
Fig.5  基于最佳拟合参数的文章传播情况模拟变化
Fig.6  基于最佳拟合参数的文章扩散速率变化
Fig.7  模型模拟情况与实际数据比较
Fig.8  不同创新系数 p对传播过程的影响
Fig.9  不同模仿系数 q对传播过程的影响
Fig.10  不同传播系数 β对传播过程的影响
Fig.11  不同免疫系数 γ对传播过程的影响
Fig.12  参数固定时,不同初始条件( F 0 N F 0占比)对传播过程的影响
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