Partial differential equations with Robin boundary condition in online social networks

Guowei Dai, Ruyun Ma, Haiyan Wang, Feng Wang, Kuai Xu

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

In recent years, online social networks such as Twitter, have become a major source of information exchange and research on information diffusion in social networks has been accelerated. Partial differential equations are proposed to characterize temporal and spatial patterns of information diffusion over online social networks. The new modeling approach presents a new analytic framework towards quantifying information diffusion through the interplay of structural and topical influences. In this paper we develop a non-autonomous diffusive logistic model with indefinite weight and the Robin boundary condition to describe information diffusion in online social networks. It is validated with a real dataset from an online social network, Digg.com. The simulation shows that the logistic model with the Robin boundary condition is able to more accurately predict the density of influenced users. We study the bifurcation, stability of the diffusive logistic model with heterogeneity in distance. The bifurcation and stability results of the model information describe either information spreading or vanishing in online social networks.

Original languageEnglish (US)
Pages (from-to)1609-1624
Number of pages16
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume20
Issue number6
DOIs
StatePublished - Aug 1 2015

Keywords

  • Bifurcation
  • Diffusive logistic model
  • Indefinite weight
  • Online social networks
  • Robin boundary condition
  • Stability

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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