Information plays an important role in modern society. In this paper, we presented a mathematical model of information spreading with isolation. It was found that such a model has rich dynamics including Hopf bifurcation. The results showed that, for a wide range of parameters, there is a bistable phenomenon in the process of information spreading and thus the information cannot be well controlled. Moreover, the model has a limit cycle which implies that the information exhibits periodic outbreak which is consistent with the observations in the real world.
"Dynamics of an Information Spreading Model with Isolation." Abstr. Appl. Anal. 2014 (SI66) 1 - 6, 2014. https://doi.org/10.1155/2014/484630