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数据分析与知识发现  2022, Vol. 6 Issue (1): 80-90     https://doi.org/10.11925/infotech.2096-3467.2021.0812
     研究论文 本期目录 | 过刊浏览 | 高级检索 |
基于SEIR模型的网络医疗众筹传播建模与仿真分析*
曹广1,沈丽宁1,2()
1华中科技大学同济医学院医药卫生管理学院 武汉 430030
2湖北省卫生技术评估研究中心 武汉 430030
Modelling and Simulating Medical Crowdfunding with SEIR
Cao Guang1,Shen Lining1,2()
1School of Medicine and Health Management, Tongji Medical College, Huazhong University of Science and Technology, Wuhan 430030, China
2Hubei Center for Health Technology Evaluation and Research, Wuhan 430030, China
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摘要 

【目的】 探究网络医疗众筹传播机理和筹资的公平性。【方法】 分析医疗众筹项目的传播过程,结合SEIR模型考虑个体特征和决策行为,基于NetworkX建立医疗众筹传播模型并进行仿真实验。【结果】 在传播过程上,发起者节点度、项目感染力和网络结构影响项目的传播速度和范围。在筹资公平性上,发起者节点度、项目感染力和个体财富与项目筹款金额正相关(相关系数为0.49、0.47和0.63);众筹前后社会财富向更富者聚集;个体出资不满足“定比”方式。【局限】 模型考虑的人群特征较少,未考虑性别、年龄、职业背景等。【结论】 仿真模型能够有效模拟医疗众筹在社交媒体上的传播过程,为探究医疗众筹的筹款能力和对医疗资源的筹资公平性提供方法支持。

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曹广
沈丽宁
关键词 信息传播模型医疗众筹筹资水平建模仿真    
Abstract

[Objective] This paper tries to explore the dissemination mechanism and the equity issues of online medical crowdfunding. [Methods] First, we analyzed the diffusion process of medical crowdfunding. Then, we used the SEIR model to study the participants' characteristics and their decision-making behaviors. Finally, we developed the diffusion model of medical crowdfunding based on NetworkX and examined it with simulation experiments. [Results] We found that the node degree of the initiator, the appeal of the project, and the network structure affected the propagation speed and scope of the project. In the equity of financing, the node degree of the initiator, the appeal of the project, and individual wealth affected the amount of fundraising with correlation coefficients of 0.49, 0.47 and 0.63. We also found the “rich got richer” effects and the individual contribution did not reflect the “fixed ratio” way. [Limitations] The model considers few demographic characteristics, such as gender, age, occupational background, etc. [Conclusions] The proposed model could effectively simulate the diffusion process of medical crowdfunding projects on social media, which also explores their fundraising ability and the financing equity issues.

Key wordsInformation Dissemination Model    Medical Crowdfunding    Financing Level    Modeling and Simulation
收稿日期: 2021-08-06      出版日期: 2022-02-22
ZTFLH:  G350  
基金资助:*本文系华中科技大学自主创新研究基金(人文社科)项目的研究成果之一(2019WKYXZX011)
通讯作者: 沈丽宁,ORCID:0000-0002-7311-8777     E-mail: sln2008@hust.edu.cn
引用本文:   
曹广, 沈丽宁. 基于SEIR模型的网络医疗众筹传播建模与仿真分析*[J]. 数据分析与知识发现, 2022, 6(1): 80-90.
Cao Guang, Shen Lining. Modelling and Simulating Medical Crowdfunding with SEIR. Data Analysis and Knowledge Discovery, 2022, 6(1): 80-90.
链接本文:  
https://manu44.magtech.com.cn/Jwk_infotech_wk3/CN/10.11925/infotech.2096-3467.2021.0812      或      https://manu44.magtech.com.cn/Jwk_infotech_wk3/CN/Y2022/V6/I1/80
Fig.1  研究设计流程
平均捐助次数 平均转发次数 平均目标
金额
平均筹款
金额
平均捐助金额 捐助次数/转发次数
2 029.58 537.36 240 413.83 48 457.94 32.34 23.01
Table 1  数据样本描述
Fig.2  医疗众筹项目转发过程
参数 参数说明以及取值范围 数据来源
N 在线社交网络用户初始数量,设置为2 426 Hamsterster网络
f 疾病的平均治疗费用,设置为240 413 表1(平均目标金额)
w0 个体财富平均值,设置为27 540 2020年中国统计年鉴(人均可支配收入)
θ i 共情能力高低在人群中满足正态分布 θ v ~ N 0 , 1 随机设置
c0 项目感染力,取值为[0, 1] 随机设置
a 接收者与发起者关系和项目感染力占比,根据统计数据取值为[0, 0.5],初始值设为0.3 随机设置
β 捐助金额占个人总财富比例,根据统计数据设置为[0.001, 0.01],初始值设为0.005 随机设置
Table 2  仿真实验参数
Fig.3  医疗众筹项目传播过程
Fig.4  发起者节点度大小对医疗众筹项目传播过程的影响
Fig.5  捐助者数量和亲友捐助比例与发起者节点度的关系
Fig.6  不同初始价值对医疗众筹项目传播过程的影响
网络名称 节点个数 边数 节点
平均度
聚类
系数
度相关系数
BA无标度网络 2 426 16 933 6.98 0.024 0 -0.034
WS小世界网络 2 426 16 982 7.00 0.094 3 -0.022
随机网络 2 426 16 850 6.94 0.005 9 -0.001
Hamasterster关系网络 2 426 16 630 6.85 0.537 5 0.047
Table 3  各网络的相关特性参数
Fig.7  各网络的度分布
Fig.8  不同网络类型对医疗众筹项目传播的影响
Fig.9  不同项目医疗众筹筹款水平
Fig.10  医疗众筹发起前后网络中个体财富分布
Fig.11  个体财富与筹资金额关系
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