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Dynamic behavior of an I2S2R rumor propagation model on weighted contract networks

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  • Zhang, Yuhuai
  • Zhu, Jianjun

Abstract

Rumor, a typical social phenomenon in real life, has a considerably huge negative impact on the construction of a harmonious society. With the rapid development of Internet, different groups in the network exert more and more impact on rumor spreading with different level of influence. Therefore, the rumor propagation model of the unauthorized network may not be appropriate for describing the difference between the existing influence. In this paper, a novel I2S2R rumor spreading model in weighted contract networks is proposed. By analyzing the corresponding mean-field equations of this model, the basic reproduction number R0 is calculated by the next generation matrix method. For the model with fixed weighted networks, by deriving the equation, the unique positive equilibrium of the system in fixed weighted networks is obtained. And meanwhile, the global stability of the rumor-free equilibrium and the persistence of the rumor equilibrium are studied. As for the model with adaptive weighted networks, we perform the stability of the equilibrium point by numerical simulations. Finally, several sensitive parameters which can prove the government effectively curb rumor spreading are obtained.

Suggested Citation

  • Zhang, Yuhuai & Zhu, Jianjun, 2019. "Dynamic behavior of an I2S2R rumor propagation model on weighted contract networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119305874
    DOI: 10.1016/j.physa.2019.04.217
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    References listed on IDEAS

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    Cited by:

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    2. Jiexun Li & Xiaohui Chang, 2023. "Combating Misinformation by Sharing the Truth: a Study on the Spread of Fact-Checks on Social Media," Information Systems Frontiers, Springer, vol. 25(4), pages 1479-1493, August.
    3. Shuzhen Yu & Zhiyong Yu & Haijun Jiang, 2022. "Stability, Hopf Bifurcation and Optimal Control of Multilingual Rumor-Spreading Model with Isolation Mechanism," Mathematics, MDPI, vol. 10(23), pages 1-29, December.
    4. Aníbal Coronel & Fernando Huancas & Ian Hess & Esperanza Lozada & Francisco Novoa-Muñoz, 2020. "Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment," Mathematics, MDPI, vol. 8(5), pages 1-20, May.
    5. Javier Cifuentes-Faura & Ursula Faura-Martínez & Matilde Lafuente-Lechuga, 2022. "Mathematical Modeling and the Use of Network Models as Epidemiological Tools," Mathematics, MDPI, vol. 10(18), pages 1-14, September.

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