Publications
Sort:
Open Access Research Article Issue
Dynamic analysis and control of online information dissemination model considering information beneficiaries
AIMS Mathematics 2025, 10(3): 4992-5020
Published: 15 March 2025
Abstract PDF (1.8 MB) Collect
Downloads:1

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.

Total 1