Research on multi-topic network public opinion propagation model with time delay in emergencies

Jing Zhang, Xiaoli Wang, Yanxi Xie and Meihua Wang

Physica A: Statistical Mechanics and its Applications, 2022, vol. 600, issue C

Abstract: In this paper, three multi-topic network public opinion propagation models, including a without time delay model when each group transforms into new topic propagators (model I); a time delay model when potential propagators transform into new topic propagators (model II); and a time delay model when the initial topic propagators transform into new topic propagators (model III), are established and the basic reproductive number with equilibrium points are found. In addition, stability theory is used to analyze the stability of the public opinion eliminating equilibrium point and the public opinion spreading equilibrium point of the three models. Meanwhile, in order to effectively deal with the negative impact of multi-topic public opinion, an optimal control analysis of the multi-topic network public opinion propagation model is carried out. Finally, a simulation analysis is conducted. It is found that the time delay in model II has no effect on the stability of the public opinion equilibrium points, while the influence of the time delay in model III causes the public opinion eliminating equilibrium point and the public opinion spreading equilibrium point to exhibit Hopf bifurcation.

Keywords: Public opinion propagation; Time delay; Stability analysis; Optimal control (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122003065

DOI: 10.1016/j.physa.2022.127409

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