Bifurcation and control of a delayed diffusive logistic model in online social networks
Bifurcation and control of a delayed diffusive logistic model in online social networks
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DOI：
10.1109/chicc.2014.6897077
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发表时间：
2014-07
期刊：
影响因子：
--
通讯作者：
Linhe Zhu;Hongyong Zhao;Haiyan Wang
中科院分区：
文献类型：
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作者：
Linhe Zhu;Hongyong Zhao;Haiyan Wang
在线社交网络已经成为传播信息和促进在大量人之间建立社会关系的流行来源。最近，人们提出了几个偏微分方程来模拟在线社交网络中信息扩散的时空动力学。因此，反应扩散方程的数学结果可以帮助理解信息扩散的机制，特别是在减少不需要的信息的同时提高传播积极信息的效率。本文提出了一种带有延迟反馈控制器的偏微分方程(PDE)来有效地控制有害信息的传播。应用偏泛函微分方程理论，给出了反馈控制系统稳定性和Hopf分支的可验证控制条件。算例表明，时滞反馈控制器能有效地降低系统受影响用户的密度，并能延迟系统Hopf分叉的发生。
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.