An improved ISR-WV rumor propagation model based on multichannels with time delay and pulse vaccination

Abstract

The rapid development of the Internet has broadened the channels of information dissemination, which makes rumors spread faster, more widely and cause more negative impact. In this paper, an improved ISR-WV rumor propagation model integrating multi-channels is proposed by considering the system time delay, and the influence of different propagation channels on the dynamic process is further analyzed. Moreover, the basic reproduction number R 0, rumor-free equilibrium, and rumor-prevailing equilibrium, as well as their stability, are deduced. Then, an optimal control problem with pulse vaccination is designed. Finally, the validity of the model and theoretical results are verified by numerical simulations and a practical application. The results show that the rumor propagation threshold R 0 is more sensitive to the propagation rate of the information base channel. The shorter the thinking time τ 1 required for the ignorant to react after obtaining the information, the larger the final propagation scale, under this condition, the time delay τ 2 generated by the spreader producing the video is negatively related to the final propagation scale; conversely, a longer τ 1 implies that people tend to be calmer, which can suppress the spread of rumors, under this condition, τ 2 has little effect on the final propagation scale. In addition, the results also prove that timely implementation of the pulse vaccination control strategy of popular science education can effectively control the rumor propagation and reduce its negative impact.

Considering individual game behavior and time delay in the multi-channel rumor propagation model

“…Nowadays, a powerful information repository has been created online, containing many forms of data, knowledge and resources [38,39]. Individuals can easily obtain rich information and services from the information base and have the opportunity to publish information in it.…”

CRB: A new rumor blocking algorithm in online social networks based on competitive spreading model and influence maximization

“…With the growth of online social networks (OSNs), such as Facebook, Twitter and WeChat, social media has become an important platform for users to keep in touch with others, and stay up to date with breaking events and live news. [1][2][3][4] However, the rise and development of OSNs platform is also a double-edged sword. On the one hand, the platform provides an efficient and convenient channel for users to facilitate the information interaction.…”