Dynamics of an information spreading model with isolation. (English) Zbl 1470.34113

Summary: 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.


34C23 Bifurcation theory for ordinary differential equations
92D30 Epidemiology
Full Text: DOI


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