Competitive Propagation of Multi-heterogeneous Information with Occurrence Time Differences in Emergencies——Two-stage Competition Model

Abstract

Abstract:

In view of the fact that the existing studies rarely consider the competitive propagation pattern and formal publishing mechanism of multi-heterogeneous information that exist when there are occurrence time differences under emergencies, this paper first analyzes the information types, propagation stages and competitive characteristics in this situation in combination with real cases, and then proposes a two-stage propagation framework and the research theme. Next, based on the construction ideas of logistic growth model and LotkaVolterra competition model, a two-stage competition propagation model of informal and formal information is constructed, and the equilibrium points and their stability conditions of the model are derived afterwards. Finally, the simulation and case analysis are conducted to verify the validity of the proposed model and its derivation results, and then the way that publishing time and intensity of formal information influences the evolution of competitive relationships among multi-heterogeneous information is investigated.

Key words: emergencies, occurrence time differences, heterogeneous information, competitive propagation

Wang Zhiying, Liang Jing. Competitive Propagation of Multi-heterogeneous Information with Occurrence Time Differences in Emergencies——Two-stage Competition Model[J]. , 2019, 31(10): 263-272.

References

[1] 任建超,韩青. 基于食品安全事件异质性的信息扩散过程研究[J]. 系统工程理论与实践, 2017,37(11):2833-2843
[2] Liu Y., Diao S. M., Zhu Y. X., et al. SHIR Competitive Information Diffusion Model for Online Social Media[J]. Physica A:Statistical Mechanics and its Applications, 2016,461:543-553
[3] Zhang Y. H., Zhu J. J. Stability Analysis of I2S2R Rumor Spreading Model in Complex Networks[J]. Physica A:Statistical Mechanics and its Applications, 2018,503:862-881
[4] 宋清华,陈建宏. 考虑公众辟谣及反馈机制的谣言传播及干预研究[J]. 中国安全科学学报, 2017,27(2):13-17
[5] Wang J. J., Zhao L. J., Huang R. B. 2SI2R Rumor Spreading Model in Homogeneous Networks[J]. Physica A:Statistical Mechanics and its Applications, 2014,413:153-161
[6] Huo L. A., Song N. X. Dynamical Interplay between the Dissemination of Scientific Knowledge and Rumor Spreading in Emergency[J]. Physica A:Statistical Mechanics and Its Applications, 2016,461:73-84
[7] Zhang Y. M., Tang C. S., Li W. G. Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks[J]. Journal of Applied Mathematics, 2014,2014:1-12
[8] Wen S., Haghighi M. S., Chen C., et al. A Sword with Two Edges:Propagation Studies on both Positive and Negative Information in Online Social Networks[J]. IEEE Transactions on Computers, 2015,64(3):640-653
[9] Trpevski D., Tang W. K. S., Kocarev L. Model for Rumor Spreading over Networks[J]. Physical Review E:Statistical Nonlinear and Soft Matter Physics, 2010,81(5):1-15
[10] 王筱莉,赵来军,吴忠. 非均匀网络中考虑辟谣机制的谣言传播模型[J]. 系统工程, 2015,33(12):139-145
[11] Jie R. L., Qiao J., Xu G. J., et al. A Study on the Interaction between Two Rumors in Homogeneous Complex Networks under Symmetric Conditions[J]. Physica A:Statistical Mechanics and Its Applications, 2016,454:129-142
[12] 霍良安,黄培清. 突发事件中不实信息的竞争扩散研究[J]. 数学的实践与认识, 2015,45(5):28-34
[13] 陈业华,康亚红,宋之杰. 公共场所突发事件情境下受灾人群间信息的传播与扩散研究[J]. 数学的实践与认识, 2015,45(16):44-54
[14] Xie M. S., Jia Z., Chen Y. F., et al. Simulating the Spreading of Two Competing Public Opinion Information on Complex Network[J]. Applied Mathematics, 2012,3(9):1074-1078
[15] Del Vicario M., Bessi A., Zollo F., et al. The Spreading of Misinformation Online[J]. Proceedings of the National Academy of Sciences, 2016,113(3):554-559
[16] Yan X. B., Jiang P. Effect of the Dynamics of Human Behavior on the Competitive Spreading of Information[J]. Computers in Human Behavior, 2018,89:1-7
[17] Katsyri J., Kinnunen T., Kusumoto K., et al. Negativity Bias in Media Multitasking:The Effects of Negative Social Media Messages on Attention to Television News Broadcasts[J]. Plos One, 2016,11(5):1-21
[18] Yang D., Chow T. W. S., Zhong L., et al. True and Fake Information Spreading over the Facebook[J]. Physica A:Statistical Mechanics and Its Applications, 2018,505:984-994
[19] Liu Q., Jiang D. Q., Shi N. Z., et al. Dynamics of a Stochastic Delayed SIR Epidemic Model with Vaccination and Double Diseases Driven by Lévy Jumps[J]. Physica A:Statistical Mechanics and Its Applications, 2018,492:2010-2018
[20] Zhang X. H., Jiang D. Q., Hayat T., et al. Dynamics of a Stochastic SIS Model with Double Epidemic Diseases Driven by Lévy Jumps[J]. Physica A:Statistical Mechanics and Its Applications, 2017,471:767-777
[21] Meng X. Z., Zhao S. N., Feng T., et al. Dynamics of a Novel Nonlinear Stochastic SIS Epidemic Model with Double Epidemic Hypothesis[J]. Journal of Mathematical Analysis and Applications, 2016,433(1):227-242
[22] 王治莹,李勇建. 政府干预下突发事件舆情传播规律与控制决策[J]. 管理科学学报, 2017,20(2):43-52
[23] 姜景,李丁,刘怡君. 基于竞争模型的微博谣言信息与辟谣信息传播机理研究[J]. 数学的实践与认识, 2015,45(1):182-191
[24] Hung H. C., Chiu Y. C., Huang H. C., et al. An Enhanced Application of Lotka-Volterra Model to Forecast the Sales of Two Competing Retail Formats[J]. Computers & Industrial Engineering, 2017,109:325-334
[25] Vosoughi S., Roy D., Aral S. The Spread of True and False News Online[J]. Science, 2018,359(6380):1146-1151
[26] Qiu X. Y., Zhao L. J., Wang J. J., et al. Effects of Time-Dependent Diffusion Behaviors on the Rumor Spreading in Social Networks[J]. Physics Letters A, 2016,380(24):2054-2063
[27] 张芷芬,丁同仁,黄文灶,等. 微分方程定性理论[M]. 北京:科学出版社, 1985