Bifurcation and control of a delayed diffusive logistic model in online social networks

Linhe Zhu, Hongyong Zhao, Haiyan Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages2773-2778
Number of pages6
ISBN (Electronic)9789881563842
DOIs
StatePublished - Sep 11 2014
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: Jul 28 2014Jul 30 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Other

OtherProceedings of the 33rd Chinese Control Conference, CCC 2014
CountryChina
CityNanjing
Period7/28/147/30/14

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Keywords

  • Hopf bifurcation
  • Online social networks
  • control
  • stability

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Zhu, L., Zhao, H., & Wang, H. (2014). Bifurcation and control of a delayed diffusive logistic model in online social networks. In S. Xu, & Q. Zhao (Eds.), Proceedings of the 33rd Chinese Control Conference, CCC 2014 (pp. 2773-2778). [6897077] (Proceedings of the 33rd Chinese Control Conference, CCC 2014). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2014.6897077