考虑媒体报道效应的谣言传播模型研究

赵敏; 陈文霞; 宋乾坤

doi:10.21656/1000-0887.390137

考虑媒体报道效应的谣言传播模型研究

doi: 10.21656/1000-0887.390137

¹江苏大学理学院, 江苏镇江 212013;²重庆交通大学数学系, 重庆 400074

基金项目: 国家自然科学基金（11501253;61773004）

详细信息

作者简介:
赵敏（1997—），女（E-mail: 1963775828@qq.com）;陈文霞（1979—），女，教授，博士（E-mail: chenwx@ujs.edu.cn）;宋乾坤（1963—），男，教授，博士（通讯作者. E-mail: qiankunsong@163.com）.

中图分类号: O175.26
计量
- 文章访问数: 1457
- HTML全文浏览量: 209
- PDF下载量: 948
- 被引次数: 0
出版历程
- 收稿日期: 2018-05-01
- 修回日期: 2018-05-08
- 刊出日期: 2018-12-01

Research on a Rumor Spreading Model With Media Coverage

¹Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R.China;²Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Funds: The National Natural Science Foundation of China(11501253; 61773004)

摘要

摘要: 结合媒体正面宣传报道和负面报道对信息传播的影响，建立了一类新的社交网络谣言传播模型.利用常微分方程稳定性理论，分别讨论了无谣言传播和有谣言传播平衡点的存在性以及全局稳定性.数值仿真验证了理论分析的正确性.研究结果为政府管理部门在舆情监控和危机决策方面提供相应的对策建议.
- 谣言传播 /
- 媒体报道 /
- 稳定性 /
- 社交网络 /
- 基本再生数
Abstract: Combined with the impacts of positive media coverage and negative publicity, a new rumor spreading model was provided. With the stability theory for ordinary differential equations, the existence and global stability of the equilibrium point between rumor spreading and no rumor were discussed for the model, respectively. The correctness of the theoretical analysis was verified through numerical simulation. The research results provide corresponding countermeasures and suggestions for the governmental management in public opinion monitoring and crisis decision making.
- rumor spreading /
- media coverage /
- stability /
- social network /
- basic reproduction number

HTML全文

参考文献(16)

[1]	DALEY D, KENDALL D. Epidemics and rumors[J]. Nature,1964,204(4963): 1118.
[2]	MAKI D, THOMPSON M. Mathematical Models and Applications [M]. Prentice-Hall, 1973.
[3]	ZANETTE D. Critical behavior of propagation on small-world networks[J]. Physical Review E,2001,64(1): 050901.
[4]	DIFONZO N, BORDIA P. Rumor, gossip and urban legends[J]. Diogenes,2007,54(1): 19-35.
[5]	NEKOVEE M, MORENO Y, BIANCONI G, et al. Theory of rumour spreading in complex social networks[J]. Physica A: Statistical Mechanics and Its Applications,2008,374(1): 457-470.
[6]	ZHAO L, WANG Q, CHENG J, et al. Rumor spreading model with consideration of forgetting mechanism: a case of online blogging LiveJournal[J]. Physica A: Statistical Mechanics and Its Applications,2011,390(13): 2619-2625.
[7]	HUO L, JIANG J, GONG S, et al. Dynamical behavior of a rumor transmission model with Holling-type Ⅱ functional response in emergency event[J]. Physica A: Statistical Mechanics and Its Applications,2016,450: 228-240.
[8]	ZHAO H, ZHU L. Dynamic analysis of a reaction-diffusion rumor propagation model[J]. International Journal of Bifurcation and Chaos,2016,6(26): 1650101-1650111.
[9]	QIU X, ZHAO L, WANG J, et al. Effects of time-dependent diffusion behaviors on the rumor spreading in social networks[J]. Physica A: Statistical Mechanics and Its Applications,2016,80(24): 2054-2063.
[10]	刘玉英, 肖燕妮. 一类受媒体影响的传染病模型的研究[J]. 应用数学和力学, 2013,34(4): 399-407.(LIU Yuying, XIAO Yanni. An epidemic model with saturated media /psychological impact[J]. Applied Mathematics and Mechanics,2013,34(4): 399-407.(in Chinese))
[11]	廖书, 杨炜民. 考虑媒体报道效应的双时滞传染病模型[J]. 应用数学和力学, 2017,38(12): 1412-1424.(LIAO Shu,YANG Weiming. An epidemic model with dual delays in view of media coverage[J]. Applied Mathematics and Mechanics,2017,38(12): 1412-1424.(in Chinese))
[12]	霍良安, 黄培清. 科普教育及媒体报道对于不实信息传播的影响[J]. 系统工程理论与实践, 2014,34(2): 365-375.(HUO Liang’an, HUANG Peiqing. Study of the impact of science popularization and media coverage on the transmission of the unconfirmed information[J]. System Engineering-Theory and Practice,2014,34(2): 365-375.(in Chinese))
[13]	赵洪涌, 朱霖河. 社交网络中谣言传播动力学研究[J]. 南京航空航天大学学报, 2015,47(3): 332-342.(ZHAO Hongyong, ZHU Linhe. Research on rumor spreading dynamics in social networks[J]. Journal of Nanjing University of Aeronautics and Astronautic,2015,47(3): 332-342.(in Chinese))
[14]	陈华. 一类具有媒体播报效应的谣言传播模型的定性分析[J]. 西安科技大学学报, 2016,36(2): 255-264.(CHEN Hua. Qualitative analysis of a rumor transmission model with media coverage[J]. Journal of Xi’an Science and Technology,2016,36(2): 255-264.(in Chinese))
[15]	梁新媛, 万佑红. 媒体介入下的谣言传播模型及其控制策略[J]. 南京邮电大学学报(自然科学版), 2017,37(1): 120-126.(LIANG Xinyuan, WAN Youhong. Rumor spreading model and control strategy considering media intervention[J]. Journal of Nanjing University of Posts and Telecommunications(Natural Science),2017,37(1): 120-126.(in Chinese))
[16]	HUO L, WANG L, SONG G. Global stability of a two-mediums rumor spreading model with media coverage[J]. Physica A: Statistical Mechanics and Its Applications,2017,482: 757-771.