A coupled UAU-DKD-SIQS model considering partial and complete mapping relationship in time-varying multiplex networks

During epidemics, official information and immunization behavior are crucial tools of controlling epidemic transmission. However, the interactions among official information, immunization behavior and epidemic are often asymmetric, and their coupled effects can vary over time, warranting further investigation. To explore these complexities, we propose a new coupled UAU-DKD-SIQS model to examine the impact of official information and immunization behavior under both partial and complete mapping relationships on epidemic transmission in time-varying multiplex networks. We focus on the asymmetrical activities of individuals in the processes of official information dissemination and epidemic transmission. Distinguishing from traditional research, we assume partial mapping between the information and behavior layers, partial mapping between the epidemic and information layers, and complete mapping between the behavior and epidemic layers. We then apply the Microscopic Markov Chain approach for theoretical analysis. Our findings indicate that enhancing the dissemination of official information, increasing the adoption of immunization behaviors, implementing quarantine measures, and strengthening policy support can all effectively control epidemic transmission. Notably, our results reveal the existence of a meta-critical point for epidemic outbreaks when considering the dynamics of immunization behavioral decision-making in relation to the mapping relationships influenced by the policy intensity of government information disclosure.