Effects of higher-order interactions and impulsive vaccination for rumor propagation
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View abstract on PubMed
Summary
This summary is machine-generated.This study models rumor propagation using hypergraph theory, revealing higher-order interactions can accelerate spread. Impulsive vaccination strategies effectively mitigate rumor dissemination in social networks.
Area Of Science
- Mathematical modeling
- Network science
- Information diffusion
Background
- Social networks exhibit complex interactions beyond pairwise connections.
- Understanding rumor propagation dynamics is crucial for information control.
- Hypergraph theory offers a framework to model higher-order interactions.
Purpose Of The Study
- Introduce a novel rumor propagation model utilizing hypergraph theory.
- Analyze the impact of higher-order interactions on rumor spread.
- Investigate the efficacy of impulsive vaccination strategies.
Main Methods
- Developed a rumor propagation model based on hypergraph theory with saturation incidence.
- Analyzed the stability of rumor-free and rumor-prevailing equilibria.
- Incorporated impulsive vaccination to simulate guided information dissemination.
- Employed the comparison theorem to study periodic solutions.
- Utilized numerical simulations to compare interaction types.
Main Results
- Established the threshold for rumor spreading and proved equilibrium stability.
- Demonstrated the global attractiveness of the rumor-free periodic solution.
- Confirmed the persistence of the model under vaccination.
- Higher-order interactions were found to promote rumor spreading.
- Impulsive vaccination significantly reduced the scale of rumor spread.
Conclusions
- Hypergraph-based models effectively capture complex social network dynamics in rumor propagation.
- Impulsive vaccination is a viable strategy for controlling information cascades.
- The interplay between higher-order interactions and control measures warrants further investigation.
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