Dynamic analysis and control of online information dissemination model considering information beneficiaries

With the rapid rise and widespread adoption of social media, theoretical research on the dynamics of online information dissemination has become increasingly important. Therefore, we developed a new model of information diffusion that took into account the influence of information recipients on the...

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Bibliographic Details
Published inAIMS mathematics Vol. 10; no. 3; pp. 4992 - 5020
Main Authors Zhang, Xuechao, Hu, Yuhan, Lu, Shichang, Guo, Haomiao, Wei, Xiaoyan, li, Jun
Format Journal Article
LanguageEnglish
Published AIMS Press 01.03.2025
Subjects
basic reproduction number
differential equation
information beneficiaries
information spreading
stability analysis
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Summary:With the rapid rise and widespread adoption of social media, theoretical research on the dynamics of online information dissemination has become increasingly important. Therefore, we developed a new model of information diffusion that took into account the influence of information recipients on the diffusion of information. First, initially, the basic reproduction number of the model was calculated. Then, we analyzed the existence and stability of the equilibrium point. Next, based on the principle of Pontryagin's maximum principle, a control strategy was derived to effectively enhance the propagation of information. Numerical simulations verified the results of theoretical analysis. The results showed that increasing the proportion of propagators and the probability of beneficiaries transitioning into propagators significantly accelerated the speed and extent of information diffusion.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2025229