Research on Network Public Opinion Propagation Model of Major Epidemics Under Cross-infection of Double Emotions

doi:10.16182/j.issn1004731x.joss.22-0815

Abstract

Abstract:

Major epidemics provoke a variety of netizens' emotions. To some degree, the interaction of netizens' intense emotions determine the development direction of public opinion. Considering the complexity and dual emotional contagion, the impact of emotional factors in network public opinion is quantified to three dimensions indicators, emotional enhancement, differences and conversion rates. SI_PI_NR public opinion propagation model is constructed. The equilibrium points and the transmission threshold are estimated and the stability is proved. The law of network public opinion propagation during major epidemics is revealed through numerical simulation. The results show that the dual emotional contagion would lead to a more sustaining network public opinion propagation during major epidemics, the proportions of initial emotion spreaders affect the development trend of network public opinion propagation, the emotional enhancement, differences and conversion rates have important effects on the network public opinion propagation.

Key words: double emotions, cross infection, major epidemic, SI_PI_NR model, public opinion propagation

CLC Number:

TP391.9

Zhang Yaming, Su Yanyuan, Zhao Guiru, Guo Xiaoyu. Research on Network Public Opinion Propagation Model of Major Epidemics Under Cross-infection of Double Emotions[J]. Journal of System Simulation, 2023, 35(12): 2582-2593.

Figures/Tables 11

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Table 1

Control experiment parameter

组别	强化度λ	分歧度μ	交叉感染率
对照组	$0.3$	$0.45$	$b 1 = 0.000 02$ $b 2 = 0.000 01$
实验1	$0.5$	$0.45$	$b 1 = 0.000 02$ $b 2 = 0.000 01$
实验2	$0.3$	$0.6$ 0	$b 1 = 0.000 02$ $b 2 = 0.000 01$
实验3	$0.3$	$0.45$	$b 1 = 0.000 20$ $b 2 = 0.000 10$

Table 1

Fig. 4

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References 30

1	中国互联网络信息中心. 第49 次中国互联网络发展现状统计报告[EB/OL]. (2022-02-25)[2022-07-10]. .
	CNNIC. The 49th Statistical Report on China's Internet Development[EB/OL]. (2022-02-25) [2022-07-10]. .
2	朱丽丽, 尹文强, 宋春燕, 等. 我国省级卫生和计划生育委员会官方微博应用现状分析[J]. 中华医院管理杂志, 2018, 34(3): 231-236.
	Zhu Lili, Yin Wenqiang, Song Chunyan, et al. Application Status of Official Micro-blogs Run by Health and Family Planning Commissions of Provincial Level[J]. Chinese Journal of Hospital Administration, 2018, 34(3): 231-236.
3	Kermack W O, McKendrick A G. Contributions to the Mathematical Theory of Epidemics-III. Further Studies of the Problem of Endemicity[J]. Bulletin of Mathematical Biology, 1991, 53(1): 89-118.
4	Goffman W, Newill V A. Generalization of Epidemic Theory: An Application to the Transmission of Ideas[J]. Nature, 1964, 204(4955): 225-228.
5	Daley D J, Kendall D G. Epidemics and Rumours[J]. Nature, 1964, 204(4963): 1118.
6	Gruhl D, Liben-Nowell D, Guha R, et al. Information Diffusion Through Blogspace[J]. ACM Sigkdd Explorations Newsletter, 2004, 6(2): 43-52.
7	Momani S, Kumar R, Srivastava H M, et al. A Chaos Study of Fractional SIR Epidemic Model of Childhood Diseases[J]. Results in Physics, 2021, 27: 104422.
8	Dasgupta A, Sengupta S. Scalable Estimation of Epidemic Thresholds via Node Sampling[J]. Sankhya A, 2022, 84(1): 321-344.
9	Mohan N, Kumari N. Positive Steady States of a SI Epidemic Model with Cross Diffusion[J]. Applied Mathematics and Computation, 2021, 410: 126423.
10	Nekovee M, Moreno Y, Bianconi G, et al. Theory of Rumour Spreading in Complex Social Networks[J]. Physica A: Statistical Mechanics and Its Applications, 2007, 374(1): 457-470.
11	Gu J, Li W, Cai X. The Effect of the Forget-remember Mechanism on Spreading[J]. The European Physical Journal B, 2008, 62(2): 247-255.
12	Wang Yaqi, Yang Xiaoyuan, Han Yiliang, et al. Rumor Spreading Model with Trust Mechanism in Complex Social Networks[J]. Communications in Theoretical Physics, 2013, 59(4): 510.
13	王筱莉, 赵来军. 社会网络中具有怀疑机制的谣言传播模型[J]. 上海理工大学学报, 2012, 34(5): 424-428.
	Wang Xiaoli, Zhao Laijun. Rumor Spreading Model with Skepticism Mechanism in Social Networks[J]. Journal of University of Shanghai for Science and Technology, 2012, 34(5): 424-428.
14	赵来军, 吴盼. 考虑传播率和移出率变化的谣言传播规律研究[J]. 上海理工大学学报, 2014, 36(4): 345-350.
	Zhao Laijun, Wu Pan. Rumor Spreading Model with Variable Spreading and Removal Rate[J]. Journal of University of Shanghai for Science and Technology, 2014, 36(4): 345-350.
15	张立凡, 赵凯. 媒体干预下带有讨论机制的网络舆情传播模型研究[J]. 现代图书情报技术, 2015(11): 60-67.
	Zhang Lifan, Zhao Kai. Study on the Internet Public Opinion Dissemination Model with Discussion Under the Effect of Media[J]. New Technology of Library and Information Service, 2015(11): 60-67.
16	狄岚, 顾雨迪. 媒体干预下三分意见群体网络舆情传播模型[J]. 系统仿真学报, 2018, 30(8): 2958-2965.
	Di Lan, Gu Yudi. Internet Public Opinion Dissemination Model with Triple Opinion Group Under Media Intervention[J]. Journal of System Simulation, 2018, 30(8): 2958-2965.
17	金晓玲, 冯慧慧, 周中允. 微信朋友圈中健康信息传播行为研究[J]. 管理科学, 2017, 30(1): 73-82.
	Jin Xiaoling, Feng Huihui, Zhou Zhongyun. An Empirical Study on Healthcare Information Diffusion Behaviorin WeChat Moments[J]. Journal of Management Science, 2017, 30(1): 73-82.
18	Wyer R S Jr, Srull T K. Affective Causes and Consequences of Social Information Processing[M]//Clore G L, Schwarz N, Conway M. Handbook of Social Cognition. 2nd ed. New York: Psychology Press, 1994: 323-417.
19	田世海, 孙美琪, 张家毓. 基于改进SIR模型的网络舆情情绪演变研究[J]. 情报科学, 2019, 37(2): 52-57, 64.
	Tian Shihai, Sun Meiqi, Zhang Jiayu. Research on the Emotion Evolution of Network Public Opinion Based on Improved SIR Model[J]. Information Science, 2019, 37(2): 52-57, 64.
20	张亚明, 何旭, 杜翠翠, 等. 负面情绪累积效应下网民群体情绪传播的IESR模型研究[J]. 情报科学, 2020, 38(10): 29-34.
	Zhang Yaming, He Xu, Du Cuicui, et al. IESR Model of Emotional Transmission of Netizens Under the Effect of Negative Emotions[J]. Information Science, 2020, 38(10): 29-34.
21	王俊秀, 张衍. 风险认知、社会情绪和未来预期: 疫情不同阶段社会心态的变化[J]. 社会科学战线, 2022(10): 220-237.
22	张省, 周燕. 突发公共卫生事件网络舆情传播机制研究[J]. 医学与社会, 2021, 34(6): 113-118, 129.
	Zhang Sheng, Zhou Yan. Research on the Network Public Opinion Transmission Mechanism of Public Health Emergencies[J]. Medicine and Society, 2021, 34(6): 113-118, 129.
23	张教萌, 师荣蓉. 基于利益相关者的突发事件网络舆情演化研究[J]. 情报学报, 2022, 41(5): 525-535.
	Zhang Jiaomeng, Shi Rongrong. The Evolution of the Online Public Opinion of Stakeholders in Emergencies[J]. Journal of the China Society for Scientific and Technical Information, 2022, 41(5): 525-535.
24	赵新刚, 周颖. 重大突发公共卫生事件中社会群体行为演化的计算实验: 以新冠肺炎疫情为例[J/OL]. 中国管理科学. (2022-04-15) [2022-09-19]. .
	Zhao Xingang, Zhou Ying. Computational Experiment on the Evolution of Social Group Behavior in Major Public Health Emergencies: A Case Study of COVID-19 Epidemic[J/OL]. Chinese Journal of Management Science. (2022-04-15) [2022-09-19]. .
25	鲍玉斌, 刘济霆, 李效宇. 考虑舆情的分时段SlQR模型的新冠疫情分析与预测[J]. 东北大学学报(自然科学版), 2022, 43(8): 1065-1072, 1088.
	Bao Yubin, Liu Jiting, Li Xiaoyu. Time-divided SIQR Model for COVID-19 Analysis and Prediction in Consideration of Public Opinion[J]. Journal of Northeastern University(Natural Science), 2022, 43(8): 1065-1072, 1088.
26	张亚明, 苏妍嫄, 刘海鸥. 双重社会强化谣言传播模型及稳定性分析[J]. 系统科学与数学, 2017, 37(9): 1960-1975.
	Zhang Yaming, Su Yanyuan, Liu Haiou. Rumor Spreading Model and Stability Analysis Considering the Double Social Reinforcements[J]. Journal of Systems Science and Mathematical Sciences, 2017, 37(9): 1960-1975.
27	崔玉美, 陈姗姗, 傅新楚. 几类传染病模型中基本再生数的计算[J]. 复杂系统与复杂性科学, 2017, 14(4): 14-31.
	Cui Yumei, Chen Shanshan, Fu Xinchu. The Thresholds of Some Epidemic Models[J]. Complex Systems and Complexity Science, 2017, 14(4): 14-31.
28	苏妍嫄, 张亚明, 何旭, 等. 风险感知交叉演变下突发事件网络舆情传播模型研究[J]. 现代情报, 2020, 40(12): 100-113.
	Su Yanyuan, Zhang Yaming, He Xu, et al. Research on Network Public Opinion Propagation Model of Emergency Under Cross-evolution of Risk Perception[J]. Journal of Modern Information, 2020, 40(12): 100-113.
29	van den Driessche P, Watmough J. Reproduction Numbers and Sub-threshold Endemic Equilibria for Compartmental Models of Disease Transmission[J]. Mathematical Biosciences, 2002, 180(1/2): 29-48.
30	Stuart A M, Humphries A R. Dynamical Systems and Numerical Analysis[M]. Cambridge: Cambridge University Press, 1996: 22-24.

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