Sentiment contagion such as the spread of panic in emergencies is a common phenomenon in human society. Considering the difference between sentiment contagion and epidemic contagion, we define the transition probabilities of the binary emotional state (optimism, pessimism) and establish a...

With the prevalence of new media, e.g., microblogging, rumors spread faster and wider than ever before. On the basis of prior studies, this paper modifies a flow chart of the rumor spreading process with the SIR (Susceptible, Infected, and Recovered) model, and thus makes the rumor spreading...

Rumor propagation is a typical form of social communication and plays a significant role in social life. In this paper, we studied the process of rumor propagation by accounting for the mechanism of forgetting in Barrat–Barthelemy–Vespignani (BBV) networks. First, we derived mean-field...

A rumor spreading model with the consideration of forgetting rate changing over time is examined in small-world networks. The mean-field equations are derived to describe the dynamics of rumor spreading in small-world networks. Further, numerical solutions are conducted on LiveJournal, an online...

The SIHR rumor spreading model with consideration of the forgetting and remembering mechanisms was studied in homogeneous networks. We further investigate the properties of the SIHR model in inhomogeneous networks. The SIHR model is refined and mean-field equations are derived to describe the...