Skip to main content
SpringerLink
Log in

Rumor propagation dynamic model based on evolutionary game and anti-rumor

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

In the online social network, the spreading process of rumor contains complex dynamics. The traditional research of the rumor propagation mainly studies the spreading process of rumor from the perspectives of rumor and participating user. The symbiosis and confrontation of rumor and anti-rumor information and the dynamic changes of the influence of anti-rumor information are not emphasized. At the same time, people’s profitability and herd psychology are also ignored. In view of the above problems, we fully consider the anti-rumor information and user’s psychological factors, construct a rumor propagation dynamics model based on evolutionary game and anti-rumor information, and provide a theoretical basis for studying the inherent laws in the spreading process of rumor. First of all, we analyze the interaction pattern and characteristic of rumor in social network. In allusion to the symbiosis of rumor and anti-rumor information and the dynamic changes of the influence of anti-rumor information, we constructed the SKIR rumor propagation model based on the SIR model. Secondly, due to rivalry between rumor and anti-rumor information, as well as the user’s profitability and herd psychology, we use evolutionary game theory to construct the driving force mechanism of information and explore the causes of user behavior in the spreading process of rumor. At the same time, we combine the behavior factors and external factors of the user to build the influence of information by multivariate linear regression method, which provides the theoretical basis for the driving force of information. Finally, combining the SKIR model proposed in this paper, we get a rumor propagation dynamics model based on evolutionary game and anti-rumor information. We have proved by experiments that the model can effectively describe the propagating situation of rumor and the dynamic change rule of the influence of anti-rumor information. On the other hand, it can also reflect the influence of people’s psychology on rumor propagation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Jing, L.: A summary of the research on the relationship between rumor spread and current society. News Econ. 15, 107–108 (2014) (in Chinese)

  2. Zheng, M.H., Lv, L.Y., Zhao, M.: Spreading in online social networks: the role of social reinforcement. Phys. Rev. E 88(1), 012818 (2013)

    Article  Google Scholar 

  3. Wei, K., Guo, S., Zeng, D.: Exploiting small world properties for message forwarding in delay tolerant networks. IEEE. Trans. Comput. 64(10), 2809–2818 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  4. Gallos, L.K., Rybski, D., Liljeros, F.: How people interact in evolving online affiliation networks. Phys. Rev. X 2(3), 4583–4586 (2011)

    Google Scholar 

  5. Haerter, J.O., Jamtveit, B., Mathiesen, J.: Communication dynamics in finite capacity social networks. Phys. Rev. Lett. 109(16), 168701 (2012)

    Article  Google Scholar 

  6. Daley, D.J., Kendall, D.G.: Stochastic rumours. IMA J. Appl. Math. 1(1), 42–55 (1965)

    Article  MathSciNet  Google Scholar 

  7. Maki, D.P., Thompson, M.: Mathematical Models and Applications. Prentice-Hall, Englewood Cliffs (1973)

    Google Scholar 

  8. Gan, C., Yang, X., Zhu, Q.: Propagation of computer virus under the influences of infected external computers and removable storage media. Nonlinear Dyn. 78(2), 1349–1356 (2014)

    Article  MathSciNet  Google Scholar 

  9. Tsachev, T., Veliov, V.M., Widder, A.: Set-membership estimations for the evolution of infectious diseases in heterogeneous populations. J. Math. Biol. 74(5), 1081–1106 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  10. Zhou, X., Hu, Y., Wu, Y.: Influence analysis of information erupted on social networks based on SIR model. Int. J. Mod. Phys. C 26(02), 1550018 (2015)

    Article  MathSciNet  Google Scholar 

  11. Zhu, L., Zhao, H.: Dynamical behaviours and control measures of rumour-spreading model with consideration of network topology. Int. J. Syst. Sci. 44(10), 2064–2078 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  12. Vega-Oliveros, D.A., da F Costa, L., Rodrigues, F.A.: Rumor propagation with heterogeneous transmission in social networks. J. Stat. Mech.: Theory Exp. 2017(2), 023401 (2017)

    Article  MathSciNet  Google Scholar 

  13. Shang, J., Liu, L., Li, X.: Epidemic spreading on complex networks with overlapping and non-overlapping community structure. Physica A 419(419), 171–182 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  14. Wang, Y.Q., Wang, J.: SIR rumor spreading model considering the effect of difference in nodes’ identification capabilities. Int. J. Mod. Phys. C 28(05), 1750060 (2017)

    Article  Google Scholar 

  15. Wang, Y., Cao, J., Li, X.: Edge-based epidemic dynamics with multiple routes of transmission on random networks. Nonlinear Dyn. 91(1), 403–420 (2018)

    Article  MathSciNet  Google Scholar 

  16. Zhang, Y., Xu, J.: A rumor spreading model considering the cumulative effects of memory. Discrete Dyn. Nat. Soc. 2015, 1–11 (2015)

    MathSciNet  Google Scholar 

  17. Xiao, Y.P., Song, C.G., Liu, Y.B.: Social hotspot propagation dynamics model based on multidimensional attributes and evolutionary games. Commun. Nonlinear Sci. Numer. Simul. 67, 13–25 (2018)

    Article  MathSciNet  Google Scholar 

  18. Xia, L.L., Jiang, G.P., Song, B.: Rumor spreading model considering hesitating mechanism in complex social networks. Physica A 437, 295–303 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  19. Huo, L., Wang, L., Song, N.: Rumor spreading model considering the activity of spreaders in the homogeneous network. Physica A 468, 855–865 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  20. Wan, Y.P., Zhang, D.G., Ren, Q.H.: Propagation and suppression of web rumors considering purging process. Acta Phys. Sin. 64(24), 69–79 (2015). (in Chinese)

    Google Scholar 

  21. Xu, J., Zhang, M., Ni, J.: A coupled model for government communication and rumor spreading in emergencies. Adv. Differ. Equ. 2016(1), 208 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  22. Luo, Y., Ma, J.: The influence of positive news on the rumor spreading in social networks with scale-free characteristics. Int. J. Mod. Phys. C 29(09), 1850078 (2018)

    Article  Google Scholar 

  23. Zhang, Y., Su, Y., Weigang, L.: Rumor and authoritative information propagation model considering super spreading in complex social networks. Physica A 506, 395–411 (2018)

    Article  MathSciNet  Google Scholar 

  24. Xia, L., Jiang, G., Song, Y.: Modeling and analyzing the interaction between network rumors and authoritative information. Entropy 17(1), 471–482 (2015)

    Article  Google Scholar 

  25. Wang, Z., Bauch, C.T., Bhattacharyya, S.: Statistical physics of vaccination. Phys. Rep. 664, 1–113 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  26. Askar, S.S., Abouhawwash, M.: Quantity and price competition in a differentiated triopoly: static and dynamic investigations. Nonlinear Dyn. 91(3), 1963–1975 (2018)

    Article  MATH  Google Scholar 

  27. Wu, F., Ma, J.: The equilibrium, complexity analysis and control in epiphytic supply chain with product horizontal diversification. Nonlinear Dyn. 93(4), 2145–2158 (2018)

    Article  Google Scholar 

  28. Chen, Y., Weng, S., Guo, W.: A game theory algorithm for intra-cluster data aggregation in a vehicular ad hoc network. Sensors 16(2), 245 (2016)

    Article  Google Scholar 

  29. Jonnalagadda, A., Kuppusamy, L.: A survey on game theoretic models for community detection in social networks. Soc. Netw. Anal. Min. 6(1), 83 (2016)

    Article  Google Scholar 

  30. Kermani, M.A.M.A., Ardestani, S.F.F., Aliahmadi, A.: A novel game theoretic approach for modeling competitive information diffusion in social networks with heterogeneous nodes. Physica A 466, 570–582 (2017)

    Article  MATH  Google Scholar 

  31. Li, D., Ma, J., Tian, Z.: An evolutionary game for the diffusion of rumor in complex networks. Physica A 433, 51–58 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  32. Etesami, S.R., Basar, T.: Complexity of equilibrium in competitive diffusion games on social networks. Automatica 68, 100–110 (2016)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This paper is partially supported by the National Natural Science Foundation of China (Grant No. 61772098); Chongqing Science and Technology Commission Project (Grant No. cstc2017jcyjAX0099) and Chongqing Key Research and Development Project (Grant Nos. cstc2017zdcy-zdyf0299, cstc2017zdcy-zdyf0436) and Chongqing Graduate Education Teaching Reform Project (Grant No. yjg183081).

Author information

Authors and Affiliations

  1. Chongqing Engineering Laboratory of Internet and Information Security, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Yunpeng Xiao, Diqiang Chen, Shihong Wei & Qian Li

  2. Beijing Key Laboratory of Intelligence Telecommunication Software and Multimedia, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Qian Li

  3. Language Technologies Institute, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA

    Haohan Wang

  4. Research Institute of Information Technology, Tsinghua University, Beijing, 100084, China

    Ming Xu

Authors
  1. Yunpeng Xiao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Diqiang Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shihong Wei
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Qian Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Haohan Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Ming Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yunpeng Xiao.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interests.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xiao, Y., Chen, D., Wei, S. et al. Rumor propagation dynamic model based on evolutionary game and anti-rumor. Nonlinear Dyn 95, 523–539 (2019). https://doi.org/10.1007/s11071-018-4579-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-018-4579-1

Keywords

Search

Navigation