The free boundary problem describing information diffusion in online social networks

Chengxia Lei; Zhigui Lin; Haiyan Wang

doi:10.1016/j.jde.2012.10.021

The free boundary problem describing information diffusion in online social networks

Chengxia Lei, Zhigui Lin, Haiyan Wang

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

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 language	English (US)
Pages (from-to)	1326-1341
Number of pages	16
Journal	Journal of Differential Equations
Volume	254
Issue number	3
DOIs	https://doi.org/10.1016/j.jde.2012.10.021
State	Published - Feb 1 2013

Keywords

Diffusive logistic equation
Free boundary
Social networks
Spreading
Vanishing

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2012.10.021

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title = "The free boundary problem describing information diffusion in online social networks",

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.",

keywords = "Diffusive logistic equation, Free boundary, Social networks, Spreading, Vanishing",

author = "Chengxia Lei and Zhigui Lin and Haiyan Wang",

note = "Funding Information: ✩ The research of the second author was supported by NSFC 11071209 and NSFC 11271197 of China, the research of the third author was partially supported by NSF Grant CNS-1218212. * Corresponding author. E-mail addresses: zglin68@hotmail.com (Z.G. Lin), Haiyan.Wang@asu.edu (H. Wang).",

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T1 - The free boundary problem describing information diffusion in online social networks

AU - Lei, Chengxia

AU - Lin, Zhigui

AU - Wang, Haiyan

N1 - Funding Information: ✩ The research of the second author was supported by NSFC 11071209 and NSFC 11271197 of China, the research of the third author was partially supported by NSF Grant CNS-1218212. * Corresponding author. E-mail addresses: zglin68@hotmail.com (Z.G. Lin), Haiyan.Wang@asu.edu (H. Wang).

PY - 2013/2/1

Y1 - 2013/2/1

N2 - 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.

AB - 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.

KW - Diffusive logistic equation

KW - Free boundary

KW - Social networks

KW - Spreading

KW - Vanishing

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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The free boundary problem describing information diffusion in online social networks

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Keywords

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