The free boundary problem describing information diffusion in online social networks

被引：62
|
作者：
Lei, Chengxia [1 ]
Lin, Zhigui [1 ]
Wang, Haiyan [2 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China
[2] Arizona State Univ, Sch Math & Nat Sci, Phoenix, AZ 85069 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 03期
基金：
美国国家科学基金会;
关键词：
Diffusive logistic equation; Free boundary; Spreading; Vanishing; Social networks; MODEL;
D O I：
10.1016/j.jde.2012.10.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：1326 / 1341
页数：16
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