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Dynamics of an Information Spreading Model with Isolation

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  • Xia-Xia Zhao
  • Jian-Zhong Wang

Abstract

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.

Suggested Citation

  • Xia-Xia Zhao & Jian-Zhong Wang, 2014. "Dynamics of an Information Spreading Model with Isolation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
    • Handle: RePEc:hin:jnlaaa:484630
    DOI: 10.1155/2014/484630
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