AUTHORS: Deng Yue, Pei Yongzhen, Shen QingLei, Zhang Wenwen, Zhu MeiXia

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ABSTRACT: Based on the WeChat platform, Micro-business is a new mode of electricity providers as a set of mobile and social integration. In combination with the SEIR model of the social network, an ignorant-hiddenspreader-immune (IHSR) model was established which is suitable for the micro-business information dissemination (MBID). Using the characteristics of micro-business and circle of friends in the WeChat network, the mechanism of information dissemination and the influence of network parameters on the process of information dissemination are analyzed. By means of the interactive Markoff chain, the mean field equations are obtained, which reflect the change of MBID process with time. We study the similarities and differences of dynamic characteristics between homogeneous networks and inhomogeneous networks by analyzing the equilibria and their stability of the equations. The simulations show that the model basically reflect the trend of the information dissemination on the micro-business network.

KEYWORDS: Micro-business, information dissemination, IHSR, complex network, circle of friends

REFERENCES:

[1] Wang Lepeng, Li Chunli and Wang Ying, Research on the Problems and Countermeasures of the Development of Micro-Business, Science and Technology Square. 6, 2015, pp. 200–204(in chinese).

[2] L. Buttyan and J.-P. Hubaux, Security and Cooperation in Wireless Networks. Cambridge, U.K.: Cambridge Univ. Press. 20, 2007, pp. 43–49.

[3] C.C. Zou, D. Towsley, and W. Gong, Modeling and simulation study of the propagation and defense of Internet e-mail worms, IEEE Transactions on Dependable and Secure Computing. 4, 2007, pp. 105–118.

[4] Y.-Q. Wang, X.-Y. Yang, Y.-L. Han and X.-A. Wang, Rumor spreading model with trust mechanism in complex social networks, Communicational in Theoretical Physics. 3, 2013, pp. 510– 516.

[5] M.E.J. Newman, S. Forest and J. Balthrop, Email networks and the spread of viruses, Physical Review E Statistical Nonlinear and Soft Matter Physics. 66 ,2002, pp. 1162–1167.

[6] N. Smith, Instant messageing as a scale-free network, arXiv: cond-mat/0206378.2002.

[7] G. Csanyi and B. Szendroi, Structure of a large social networks, Physical Review E Statistical Nonlinear and Soft Matter Physics. 69 , 2003, pp. 287–316.

[8] F. Wang, Y. Moreno and Y. Sun, Structure of peer-to-peer social network, Physical Review E Statistical Nonlinear and Soft Matter Physics. 73, 2006, pp. 80–89.

[9] B. Pittel, On a Daley-Kendall model of random rumours, Journal of Applied Probability. 27, 1990, pp. 14–27.

[10] C. Lefevre and P. Picard, Distribution of the final extent of a rumour process, Journal of Applied Probability. 31, 1994, pp. 244–249.

[11] J. Gu, W. Li and X. Cai, The effect of the forgetremember mechanism on spreading, European Physical Journal B. 62, 2008, pp. 247–255

[12] Qichao Xu, Zhou Su, Kuan Zhang and Pinyi Ren Xuemin (Sherman) Shen, Epidemic Information Dissemination in Mobile Social Networks with Opportunistic Links, IEEE Transactions on Emerging Topics in Computing. 3, 2015, pp. 399–409.

[13] M. Nekovee, Y. Moreno, G. Bianconi and M. Marsili, Theory of rumour spreading in complex social networks, Physica A Statistical Mechanics and Its Applications. 374, 2007, pp. 457–470. pace-7pt

[14] Y. Zhang, Y. Liu, H. Zhang, H. Cheng and F. Xiong, The research of information spreading model on online social network, Acta Phys. Sinica.2011.

[15] W. Zhang, Y. Ye, H. Tan, Q. Dai and T. Li, Information diffusion model based on social network, in Proc. ICMCSA. 9, 2013, pp. 145–150.

[16] Y. Wu, S. Deng, and H. Huang, Information propagation through opportunistic communication in mobile social networks, Mobile Networks and Applications. 8, 2012, pp. 773–781.

[17] ZHU Jun, WANG Qidong and YANG Jing, Research of Wechat Network Information Transmission based on the Complex Network, International Conference on Intelligent Systems Research and Mechatronics Engineering. 2015, pp. 1923–1926.

[18] WANG Chao, YANG Xu-ying, XU Ke and MA Jian-feng.SEIR-Based Model for the Information Spreading over SNS, ACTA ELECTRONICA SINICA. 11, 2014, pp. 2325–2330(in chinese).

[19] Maki, D. P.and M. Thompson, Mathematical Models and Applications: With Emphasis on Social, Life, and Mangement Sciences, Prentice Hall. 1973.

[20] Conlisk, J., Interactive Markov chains, Journal of Mathematical Sociology. 4, 1976, pp. 157– 185.

[21] Pastor-Satorras, R. and espignani, A., Evolution and Structure of the Internet: A Statistical Physics Approach, Journal of Statistical Physics. 6, 2006, pp. 1297–1298.

[22] Ebel, H., Mielsch, L. and Bornholdt, S., Scalefree topology of email networks. Physical Review E Statistical Nonlinear and Soft Matter Physics E. 3, 2002, pp. 035103–035103.

[23] Csanyi, G. and Szendroi, B., Structure of large social networks, Physical Review E Statistical Nonlinear and Soft Matter Physics. 2, 2003, pp. 287–316.