Research Article

Information Propagation Influenced by Population Heterogeneity Behavioral Adoption on Weighted Network

Figure 1

(a) The illustration of the SAR model on the weighted network. The green labels represent that the individuals are fashionable, such as individuals 3, 5, and 6. The black labels represent conservatives, such as individuals 1 and 2. The symbol is edge weight. At time , A-state individual 1 propagates information to its neighbors. The green dashed lines imply that information cannot be transmitted via the edges. The blue solid lines indicate information has not been transmitted through the corresponding edges. (b) The left subgraph is the behavior adoption threshold model of fashionable individuals. The right subgraph is the behavior adoption threshold model of conservatives. is the aggregate pieces of information that the S-state individual successfully received. and are the fractions of fashionable and conservative individuals, respectively. and are the behavior adoption thresholds of fashionable and conservative individuals, respectively.
(a)
(b)