The free boundary problem describing information diffusion in online social networks

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:254

Article

Lei, Chengxia¹  Lin, Zhigui¹  Wang, Haiyan² 

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China

[2] Arizona State Univ, Sch Math & Nat Sci, Phoenix, AZ 85069 USA

关键词: Diffusive logistic equation;    Free boundary;    Spreading;    Vanishing;    Social networks;   

DOI  :  10.1016/j.jde.2012.10.021

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free