Complex dynamic behavior of a rumor propagation model with spatialoral diffusion terms

Linhe Zhu, Hongyong Zhao, Haiyan Wang

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

Rumor propagation as a typical form of social communication in online social networks has had a significant negative impact on a harmonious and stable society. With the rapid development of mobile communication equipments, traditional rumor propagation models, which depend on ordinary differential equations (ODE), may not be suitable for describing rumor propagation in an online social network. In this paper, based on reaction-diffusion equations, we propose a novel epidemic-like model with both discrete and nonlocal delays for investigating the spatialoral dynamics of rumor propagation. By analyzing the corresponding characteristic equations of this model, the local stability conditions of a boundary equilibrium point and a positive equilibrium point are established. By applying the linear approximation method of nonlinear systems, sufficient conditions are derived for the existence of Hopf bifurcation at the above two kinds of equilibrium points. Moreover, a sensitivity analysis method based on the density of spreading users is proposed, and then in theoretical and experimental aspect we identify some sensitive parameters in the process of rumor propagation. Finally, numerical simulations are performed to illustrate the theoretical results.

Original languageEnglish (US)
Pages (from-to)119-136
Number of pages18
JournalInformation Sciences
Volume349-350
DOIs
StatePublished - Jul 1 2016

Fingerprint

Complex Dynamics
Dynamic Behavior
Propagation
Equilibrium Point
Term
Hopf bifurcation
Communication
Social Networks
Ordinary differential equations
Nonlocal Delay
Sensitivity analysis
Nonlinear systems
Discrete Delay
Model
Mobile Communication
Characteristic equation
Local Stability
Linear Approximation
Reaction-diffusion Equations
Approximation Methods

Keywords

  • Delay
  • Online social networks
  • Reaction-diffusion equations
  • Rumor propagation
  • Stability

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management

Cite this

Complex dynamic behavior of a rumor propagation model with spatialoral diffusion terms. / Zhu, Linhe; Zhao, Hongyong; Wang, Haiyan.

In: Information Sciences, Vol. 349-350, 01.07.2016, p. 119-136.

Research output: Contribution to journalArticle

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