SAR dynamical mechanism affected by diminishing marginal effect based on personal fashion psychology on multi-layer contacted network

Abstract

Abstract People in complex systems exhibit varying capacities for social interaction because of differences in personal psychology, educational attainment, and social class. It is true that people often use different social networks and show different enthusiasm for obtaining information, but their interest in collecting information will decrease over time. Our study on Personal Fashion Psychology (PFP) has shown that when people get information, they behave in a way known as the Diminishing Marginal Effect (DME-PFP behavior). Next, we created a SAR propagation dynamics model on a multi-layer contact network to represent DME-PFP behavior using a threshold function. Then, to assess and uncover the transmission mechanism of individual behaviour, we use partition theory. A boundary phenomena is displayed by the propagation mode, as demonstrated by both theoretical analysis and simulated tests. The final size can exhibit either discontinuous first-order phase transitions or continuous second-order phase changes in individual DME-PFP behaviour. Meanwhile, through the unit transmission probability changed, the ideal DME-PFP parameters occur at the largest final adoption size. Moreover, the promotion of the propagation pattern and behaviour from continuous second-order to discontinuous first-order is facilitated by interpersonal contact. The numerical analysis and the actual models may eventually agree.