TY  - JOUR
AU  - Zhang, Xuechao
AU  - Hu, Yuhan
AU  - Lu, Shichang
AU  - Guo, Haomiao
AU  - Wei, Xiaoyan
AU  - li, Jun
PY  - 2025
TI  - Dynamic analysis and control of online information dissemination model considering information beneficiaries
JO  - AIMS Mathematics
SP  - 4992
EP  - 5020
VL  - 10
IS  - 3
AB  - 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.
UR  - https://doi.org/10.3934/math.2025229
DO  - 10.3934/math.2025229