双层耦合网络中基于改进SIHR模型的舆情传播研究
Research on Public Opinion Propagation in Coupled Double-Layer Network Based on Improved SIHR Model
摘要: 当前信息网络迅速发展,舆情在社交网络上的传播变得十分复杂。舆情传播的现实情况表现为多个社交网络间共同传播,单个社交网络的舆情传播研究已不能真实地描述现实情况。除此之外,舆情传播过程中,个体状态的变化存在多样性。特别的是,存在初次“免疫”舆情的个体由于后续产生兴趣而变为传播者的情况。因此,本文将以双层耦合网络为载体,基于改进的SIHR模型来研究舆情传播动力学过程并提出具体的应对策略。具体为,首先根据改进的SIHR模型,给出各状态人群在双层网络下的状态转移图。再根据离散的马尔可夫链方法,给出改进的SIHR模型的舆情传播动力学方程。最后,通过MATLAB软件开展模拟仿真,来研究舆情传播的规律及模型参数对于传播过程的影响。并在此基础上,从公共部门、社交平台、用户三个方面给出舆情应对策略,包括:强化官方媒体的威信力,加强平台的监管力度,做好用户情感引导。
Abstract: With the rapid development of information network, the diffusion of public opinion on social networks has become very complicated. The actual situation of public opinion diffusion is manifested as the common communication among multiple social networks, and the research on public opinion diffusion of a single social network can no longer truly describe the real situation. In addition, in the process of public opinion dissemination, there is diversity in the change of individual status. In particular, there are cases where individuals who are initially “immune” to public opinion become communicators due to subsequent interest. Therefore, this paper will study the dynamic process of public opinion diffusion based on the improved SIHR model and put forward specific countermeasures with the carrier of double-layer coupled network. Specifically, according to the improved SIHR model, the state transition diagram of each state population in the two-layer network is given. Based on the discrete Markov chain method, the public opinion propagation dynamics equation of the improved SIHR model is given. Finally, MATLAB software is used to carry out simulation to study the law of public opinion propagation and the influence of model parameters on the propagation process. Based on that, from the three aspects: the social platform, public sector and users, we give public opinion controlling strategies, including: strengthening the supervision of the platform, enhancing supervision of the official media and effectively guiding user emotions.
文章引用:廖先航, 王海英. 双层耦合网络中基于改进SIHR模型的舆情传播研究[J]. 理论数学, 2024, 14(3): 105-116. https://doi.org/10.12677/pm.2024.143090

参考文献

[1] Kermack, W.O. and Mckendrick, A.G.A. (1927) A Contribution to the Mathematical Theory of Epidemics. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 115, 700-721. [Google Scholar] [CrossRef
[2] 陈波, 于泠, 刘君亭, 褚为民. 泛在媒体环境下的网络舆情传播控制模型[J]. 系统工程理论与实践, 2011, 31(11): 2140-2150.
[3] 李青, 朱恒民, 杨东超. 微博网络中舆情话题传播演化模型[J]. 现代图书情报技术, 2013(12): 74-80.
[4] 朱恒民, 杨柳, 马静, 魏静. 基于耦合网络的线上线下互动舆情传播模型研究[J]. 情报杂志, 2016, 35(2): 7.
[5] 朱海涛, 赵捧未, 秦春秀. 一种改进的移动社交网络SEIR信息传播模型研究[J]. 情报科学, 2016, 34(3): 6.
[6] Zhao, L., Wang, J., Chen, Y., et al. (2012) SIHR Rumor Spreading Model in Social Networks. Physica A: Statistical Mechanics and Its Applications, 391. 7: 2444-2453. [Google Scholar] [CrossRef
[7] 金雅芳. 耦合网络环境下在线网络信息传播机制研究[D]: [硕士学位论文]. 南京: 南京邮电大学, 2024.
[8] Wang, X. (2011) Effects of Interconnections on Epidemics in Network of Networks. 2011 7th International Conference on Wireless Communications, Networking and Mobile Computing, Wuhan, 23-25 September 2011, 1-4. [Google Scholar] [CrossRef
[9] Édes, B.W. (2000) The Role of Government Information Officers. Journal of Government Information, 27, 455-469. [Google Scholar] [CrossRef
[10] 徐晓日, 刘丹琳. 我国突发公共事件舆情治理研究的热点主题与演进趋势[J]. 行政与法, 2023(6): 15-27.
[11] Crokidakis, N. (2012) Effects of Mass Media on Opinion Spreading in the Sznajd Sociophysics Model. Physica: A Statistical Mechanics & Its Applications, 391, 1729-1734. [Google Scholar] [CrossRef
[12] 朱恒民, 刘凯, 卢子芳. 媒体作用下互联网舆情话题传播模型研究[J]. 现代图书情报技术, 2013(3): 6.
[13] Afassinou, K. (2014) Analysis of the Impact of Education Rate on the Rumor Spreading Mechanism. Physica A Statistical Mechanics & Its Applications, 414, 43-52. [Google Scholar] [CrossRef
[14] Jaeger, M.E., Anthony, S. and Rosnow, R.L. (1980) Who Hears What from Whom and with What Effect: A Study of Rumor. Personality & Social Psychology Bulletin, 6, 473-478. [Google Scholar] [CrossRef
[15] Granell, C., Gómez, S. and Arenas, A. (2013) Dynamical Interplay between Awareness and Epidemic Spreading in Multiplex Networks. Physical Review Letters, 111, Article 128701. [Google Scholar] [CrossRef
[16] Moore, J.M., Small, M. and Yan, G. (2021) Inclusivity Enhances Robustness and Efficiency of Social Networks. Physica A: Statistical Mechanics and its Applications, 563, Article ID 125490. [Google Scholar] [CrossRef