Skip to main content
SpringerLink
Log in

A mathematical model of news propagation on online social network and a control strategy for rumor spreading

  • Original Article
  • Published:
Social Network Analysis and Mining Aims and scope Submit manuscript

Abstract

People of the modern world are using social network Web sites to communicate with others either known or unknown, for getting opinions of others and giving their opinions to others. The post, weblogs, effects or affects human mind, at least for some time. These posts take a part in choosing their decisions and play an important role. But the information present in the post is either information or just misinformation, i.e., just a rumor. People are confused to distinguish these posts in either a correct information or misinformation. It is important to decide whether this is information or just a rumor because it may cause a support of the wrong decision of the whole majority. In this paper, a mathematical framework is presented related to these matters. Firstly, we proposed a mathematical model of news spreading from some posts displayed in an online social network. The development of mathematical models of news propagation uses the epidemiological modeling technique. Then, we proposed criteria of rumor detection and verification for the model. In the case of rumor, a revised model is proposed with media awareness as a control strategy for reducing the rumor spreading.

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

Similar content being viewed by others

References

  • Bettencourt LMA et al (2006) The power of a good idea: quantitative modeling of the spread of ideas from epidemiological models. Phys A Stat Mech Appl 364:513–536

    Article  Google Scholar 

  • Budak C, Agrawal D, El Abbadi A (2011) Limiting the spread of misinformation in social networks. In: Proceedings of the 20th international conference on World wide web. ACM

  • Cannarella J, Spechler JA (2014) Epidemiological modeling of online social network dynamics. arXiv preprint arXiv:1401.4208

  • Daley DJ, Kendall DG (1965) Stochastic rumours. IMA J Appl Math 1(1):42–55

    Article  MathSciNet  Google Scholar 

  • Galam S (2003) Modelling rumors: the no plane Pentagon French hoax case. Phys A Stat Mech Appl 320:571–580

    Article  MATH  Google Scholar 

  • Jin F, et al (2013) Epidemiological modeling of news and rumors on twitter. In: Proceedings of the 7th workshop on social network mining and analysis. ACM

  • Kermark M, Mckendrick AG (1927) Contributions to the mathematical theory of epidemics. Part I. Proc R Soc Lond A Math Phys Eng Sci 115(5):700–721

    Article  Google Scholar 

  • Maki DP, Thompson M (1973) Mathematical models and applications: with emphasis on the social life, and management sciences. No. 511.8 M3

  • Newman ME, Forrest S, Balthrop J (2002) Emailnetworks and the spread of computer viruses. Phys Rev E 66(3):035101

    Article  Google Scholar 

  • Nekovee M et al (2007) Theory of rumour spreading in complex social networks. Phys A Stat Mech Appl 374.1:457–470

    Article  Google Scholar 

  • Nizamani S, Memon N, Galam S (2014) From public outrage to the burst of public violence: an epidemic-like model. Phys A Stat Mech Appl 416:620–630

    Article  Google Scholar 

  • Qazvinian V, et al (2011) Rumor has it: Identifying misinformation in microblogs. In: Proceedings of the conference on empirical methods in natural language processing. Association for Computational Linguistics

  • Shah D, Zaman T (2011) Rumors in a network: Who’s the culprit? IEEE Trans Inf Theory 57(8):5163–5181

    Article  MathSciNet  Google Scholar 

  • Sahu GP, Dhar J (2012) Analysis of an SVEIS epidemic model with partial temporary immunity and saturation incidence rate. Appl Math Model 36(3):908–923

    Article  MathSciNet  MATH  Google Scholar 

  • Sahu GP, Dhar J (2015) Dynamics of an SEQIHRS epidemic model with media coverage, quarantine and isolation in a community with pre-existing immunity. J Math Anal Appl 421(2):1651–1672

    Article  MathSciNet  MATH  Google Scholar 

  • Vosoughi S (2015) Automatic detection and verification of rumors on Twitter. Dissertation, Massachusetts Institute of Technology

  • Wu S, et al (2013) Arrival and departure dynamics in social networks. In: Proceedings of the sixth ACM international conference on Web search and data mining. ACM

  • Zanette DH (2002) Dynamics of rumor propagation on small-world networks. Phys Rev E 65(4):041908

    Article  MathSciNet  Google Scholar 

  • Zhao X, Wang J (2013) Dynamical model about rumor spreading with medium. Discret Dyn Nat Soc 2013:586867

Download references

Author information

Authors and Affiliations

  1. Department of Applied Sciences, ABV-Indian Institute of Information Technology and Management, Gwalior, Madhya Pradesh, 474015, India

    Joydip Dhar

  2. Department of Mathematics, UIT-Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, Madhya Pradesh, 462036, India

    Ankur Jain & Vijay K. Gupta

Authors
  1. Joydip Dhar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ankur Jain
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Vijay K. Gupta
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Joydip Dhar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dhar, J., Jain, A. & K. Gupta, V. A mathematical model of news propagation on online social network and a control strategy for rumor spreading. Soc. Netw. Anal. Min. 6, 57 (2016). https://doi.org/10.1007/s13278-016-0366-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s13278-016-0366-5

Mathematical Subject Classification

Search

Navigation