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The analysis of an SEIR rumor propagation model on heterogeneous network

Author

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  • Liu, Qiming
  • Li, Tao
  • Sun, Meici

Abstract

Considering that the exposed nodes may become the removed nodes at a rate, we present a novel rumor propagation SEIR model on heterogeneous network. We give formula of the rumor spreading threshold for the model and analyze the globally dynamical behaviors of the rumor free equilibrium set. Meanwhile, we discuss two immunization strategies for the rumor spreading. Numerical simulations are given to demonstrate the main results.

Suggested Citation

  • Liu, Qiming & Li, Tao & Sun, Meici, 2017. "The analysis of an SEIR rumor propagation model on heterogeneous network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 372-380.
  • Handle: RePEc:eee:phsmap:v:469:y:2017:i:c:p:372-380
    DOI: 10.1016/j.physa.2016.11.067
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    References listed on IDEAS

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    3. Zhao, Laijun & Cui, Hongxin & Qiu, Xiaoyan & Wang, Xiaoli & Wang, Jiajia, 2013. "SIR rumor spreading model in the new media age," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 995-1003.
    4. Zhao, Laijun & Wang, Jiajia & Chen, Yucheng & Wang, Qin & Cheng, Jingjing & Cui, Hongxin, 2012. "SIHR rumor spreading model in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2444-2453.
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    6. Zhao, Laijun & Wang, Qin & Cheng, Jingjing & Chen, Yucheng & Wang, Jiajia & Huang, Wei, 2011. "Rumor spreading model with consideration of forgetting mechanism: A case of online blogging LiveJournal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2619-2625.
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