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Fractional-order rumor propagation model with memory effect.

Xu Gao1, Fengming Liu1, Chang Liu1

  • 1School of Business, Shandong Normal University, Jinan, 250358 China.

Social Network Analysis and Mining
|November 2, 2022
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Summary
This summary is machine-generated.

This study introduces a fractional rumor propagation model incorporating memory effects to better simulate online rumor spread. Enhancing memory reduces rumor scale and harm, offering a more realistic approach to rumor governance.

Keywords:
Fractional-order calculusMemory effectNumerical solution algorithmRumor propagationStability analysis

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Area of Science:

  • Mathematical modeling
  • Information science
  • Network dynamics

Background:

  • Online rumors pose significant harm, necessitating effective rumor governance strategies.
  • Understanding rumor propagation mechanisms is crucial for controlling their spread.
  • Individual memory influences the perception and spread of information, including rumors.

Purpose of the Study:

  • To develop a novel fractional rumor propagation model that incorporates the effect of memory.
  • To analyze the stability and dynamics of the proposed model.
  • To simulate rumor spread more realistically and explore mitigation strategies.

Main Methods:

  • Established a fractional rumor propagation model based on the SIR (Susceptible-Infected-Recovered) model, integrating memory effects.
  • Calculated the basic regeneration number and performed stability analysis of equilibrium points.
  • Employed an efficient, high-precision numerical solution algorithm for model simulation.

Main Results:

  • The fractional-order parameter directly correlates with the memory effect; lower orders indicate stronger memory.
  • The fractional-order rumor propagation model provides a more realistic simulation of rumor dynamics.
  • Increasing the memory effect demonstrably reduces the scale and overall harm of rumor propagation.

Conclusions:

  • Fractional calculus offers a powerful tool to model memory effects in rumor propagation.
  • The proposed model enhances the understanding of rumor dynamics and provides insights for rumor control.
  • Strengthening memory effects is a viable strategy to mitigate the negative impact of online rumors.