Optimal control of a stochastic rumour propagation in online social networks

Kalaiselvi Myilsamy, Muthukrishnan Senthil Kumar and Athira Satheesh Kumar
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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

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 12, 1-20

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.

Keywords: Rumour; online social networks; basic regeneration number; stability analysis; stochastic model; optimal control (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123501620

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