co-evolutionary, modeling, epidemic system, opinion system, review, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

The co-evolutionary research of complex network propagation dynamics systems has gradually become a hot topic in domestic and international research in recent years. This article reviews the research progress of epidemic dynamics systems and public opinion dynamics systems, providing a theoretical basis and knowledge reserve for the co-evolutionary research of the “epidemic–opinion” system. Firstly, following the path of process complexity, this article points out the similarities in mathematical modeling between the two types of systems from a dynamic perspective, as well as the latest research progress. Based on this, the article fully considers the common complex network attributes of these two types of systems, and from the perspective of the increasing complexity of networks, it sorts out the relevant research progress of the “epidemic–opinion” system and the necessity of its co-evolutionary research. Finally, from the perspective of complex engineering systems, the article looks forward to the difficulties and problems that may be encountered in the co-evolutionary research process. From the two dimensions of process complexity and network complexity, the latest research progress is summarized, while key issues and potential difficulties in the next step of co-evolutionary research for the “epidemic–opinion” system are pointed out, providing a reference and inspiration for relevant researchers.