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Optimal control of a stochastic rumour propagation in online social networks

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  • Kalaiselvi Myilsamy

    (Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore 641004, Tamil Nadu, India2Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai Tamil Nadu, India)

  • Muthukrishnan Senthil Kumar

    (Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore 641004, Tamil Nadu, India2Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai Tamil Nadu, India)

  • Athira Satheesh Kumar

    (Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore 641004, Tamil Nadu, India2Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai Tamil Nadu, India)

Abstract

The rapid development of social networks makes the rumour, other false news disseminate to the people in a short period. Online users in social networks are dynamically changing the connectivity over time. The effect of dynamic connections results in stochastic variation which is termed as noise. In this paper, a nonlinear rumour propagation model is formulated, the basic regeneration number R0 of the proposed model is computed and the stability for the model is discussed. Further, we extend the model to stochastic rumour propagation for online social networks incorporating noise. The existence and uniqueness of the stochastic rumour propagation for the homogeneous network are investigated. Optimal control strategy of stochastic rumour spreading model in online social network is investigated to control the parameters. A comparison between deterministic and stochastic rumour spreading model in online social network is numerically illustrated.

Suggested Citation

  • Kalaiselvi Myilsamy & Muthukrishnan Senthil Kumar & Athira Satheesh Kumar, 2023. "Optimal control of a stochastic rumour propagation in online social networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(12), pages 1-20, December.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:12:n:s0129183123501620
    DOI: 10.1142/S0129183123501620
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