A dynamic model of rumor spreading with time delay

Rumor is a social phenomenon in which the same comment spreads quickly on a large scale via a chain of com-munication. Rumors are an important part of social interaction, and they have a large impact on everyone’s work and daily life. Misinformation can have a devastating effect on people, especially when they are confronted with a religious or political crisis. It is necessary to understand the dynamic characteristics of rumor spread in order to reduce and avoid the dangers of rumor spread in online social networks. The model is similar to a disease spread model. This occurrence merits further investigation or research. As a result, the researcher is curious about the rumor spreading model with delay time as a saturation control function. Analyzing the mathematical model of rumor spread’s local stability of the equilibrium point and the Hopf Bifurcation, as well as numerical simulations of the model of rumor spread.