Influences of individual interaction validity on coupling propagation of information and disease in a two-layer higher-order network

All complex phenomena in complex systems arise from individual interactions, which include pairs and higher-order forms. Research indicates that various physical and mental factors can impact the validity of these interactions, potentially preventing diffusion phenomena. This paper explores the influences of the interaction validity on coupling propagation of information and disease in a two-layer higher-order network. Interaction validity is defined using a threshold function based on the individual activity level. The dynamic evolution equations of the nodes are derived by using the microscopic Markov chain approach, and the transmission threshold of the disease is determined. Extensive numerical simulations on both artificial and real-world networks reveal that higher-order interactions significantly enhance the diffusion of disease and related information. Reducing individual activity levels diminishes interaction validity, thereby restricting disease transmission. Moreover, optimizing disease control can be achieved by increasing public activity in virtual social networks while reducing it in physical contact networks. Strengthening interlayer coupling enhances self-protective measures, thus amplifying the suppression of disease by information.