@inproceedings{dd92168d3c3d4eb88a33c9c77cce182d,
title = "Bifurcation and control of a delayed diffusive logistic model in online social networks",
abstract = "Online social networks have become a popular source for disseminating information and facilitating the building of social relations among a huge number of people. Recently, several partial differential equations were proposed to model the spatio-temporal dynamics of information diffusion in online social networks. As a result, mathematical results of reaction-diffusion equations can be used to help understand the mechanism of information diffusion and, in particular, increase the efficiency of distributing positive information while reducing unwanted information. In this paper, we develop a Partial Differential Equation (PDE) with a delayed feedback controller to effectively control the spread of harmful information. Applying the theory of partial function differential equation, we present verifiable control conditions for stability and Hopf bifurcation of the feedback control system. Examples are given to demonstrate that the delayed feedback controller can reduce the density of influenced users effectively and delay the onset of Hopf bifurcation as well.",
keywords = "Hopf bifurcation, Online social networks, control, stability",
author = "Linhe Zhu and Hongyong Zhao and Haiyan Wang",
note = "Publisher Copyright: {\textcopyright} 2014 TCCT, CAA.; Proceedings of the 33rd Chinese Control Conference, CCC 2014 ; Conference date: 28-07-2014 Through 30-07-2014",
year = "2014",
month = sep,
day = "11",
doi = "10.1109/ChiCC.2014.6897077",
language = "English (US)",
series = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",
publisher = "IEEE Computer Society",
pages = "2773--2778",
editor = "Shengyuan Xu and Qianchuan Zhao",
booktitle = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",
}