A Multilingual SEIR Model for Public Opinion Dynamics: Integrating Social Enhancement and Cross-Transmission Mechanisms

Abstract

In multilingual environment, the propagation of public opinion exhibits increased complexity and uncertainty, necessitating a robust mathematical model for its description and analysis. Utilizing complex network theory and dynamical principles, this study integrates the social enhancement effects, forgetting mechanism, and cross-transmission mechanism into a SEIR model of opinion dynamics that accounts for linguistic factors. This paper explores the interaction and influence of public opinion across different language groups, assessing the stability and sensitivity of these opinions. Concurrently, this paper proposes an opinion control strategy based on optimal control theory, specifically tailored for multilingual contexts. This strategy aims to minimize the costs associated with controlling public opinion and to effectively guide and regulate it. Numerical simulation experiments validate the proposed model and methods, offering innovative approaches and tools for managing public opinion in multilingual settings.