The free boundary problem describing information diffusion in online social networks

Chengxia Lei, Zhigui Lin, Haiyan Wang

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

In this paper we consider a free boundary problem for a reaction-diffusion logistic equation with a time-dependent growth rate. Such a problem arises in the modeling of information diffusion in online social networks, with the free boundary representing the spreading front of news among users. We present several sharp thresholds for information diffusion that either lasts forever or suspends in finite time. In the former case, we give the asymptotic spreading speed which is determined by a corresponding elliptic equation.

Original languageEnglish (US)
Pages (from-to)1326-1341
Number of pages16
JournalJournal of Differential Equations
Volume254
Issue number3
DOIs
StatePublished - Feb 1 2013

Fingerprint

Information Diffusion
Free Boundary Problem
Social Networks
Spreading Speed
Sharp Threshold
Logistic Equation
Reaction-diffusion Equations
Free Boundary
Elliptic Equations
Logistics
Modeling

Keywords

  • Diffusive logistic equation
  • Free boundary
  • Social networks
  • Spreading
  • Vanishing

ASJC Scopus subject areas

  • Analysis

Cite this

The free boundary problem describing information diffusion in online social networks. / Lei, Chengxia; Lin, Zhigui; Wang, Haiyan.

In: Journal of Differential Equations, Vol. 254, No. 3, 01.02.2013, p. 1326-1341.

Research output: Contribution to journalArticle

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