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

Zhao, Xia-Xia; Wang, Jian-Zhong

Abstr. Appl. Anal. 2014, Article ID 484630, 6 p. (2014).

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.

MSC:

34C23	Bifurcation theory for ordinary differential equations
92D30	Epidemiology

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