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An epidemic spreading model on adaptive scale-free networks with feedback mechanism

Author

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  • Li, Tao
  • Liu, Xiongding
  • Wu, Jie
  • Wan, Chen
  • Guan, Zhi-Hong
  • Wang, Yuanmei

Abstract

A SIRS epidemic model with feedback mechanism on adaptive scale-free networks is presented. Using the mean field theory the spreading dynamics of the epidemic is studied in detail. The basic reproductive number and equilibriums are derived. Theoretical results indicate that the basic reproductive number is significantly dependent on the topology of the underlying networks. The existence of equilibriums is determined by the basic reproductive number. The global stability of disease-free equilibrium and the epidemic permanence are proved in detail. The feedback mechanism cannot change the basic reproductive number, but it can reduce the endemic level and weaken the epidemic spreading. Numerical simulations confirmed the analytical results.

Suggested Citation

  • Li, Tao & Liu, Xiongding & Wu, Jie & Wan, Chen & Guan, Zhi-Hong & Wang, Yuanmei, 2016. "An epidemic spreading model on adaptive scale-free networks with feedback mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 649-656.
    • Handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:649-656
    DOI: 10.1016/j.physa.2016.01.045
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    References listed on IDEAS

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    Cited by:

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    7. Li, Xiaofei & Ding, Deng, 2017. "Mean square exponential stability of stochastic Hopfield neural networks with mixed delays," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 88-96.
    8. Wei, Xiaodan & Xu, Gaochao & Liu, Lijun & Zhou, Wenshu, 2017. "Global stability of endemic equilibrium of an epidemic model with birth and death on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 78-84.
    9. Li, Ruqi & Song, Yurong & Wang, Haiyan & Jiang, Guo-Ping & Xiao, Min, 2023. "Reactive–diffusion epidemic model on human mobility networks: Analysis and applications to COVID-19 in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    10. Wan, Chen & Li, Tao & Zhang, Wu & Dong, Jing, 2018. "Dynamics of epidemic spreading model with drug-resistant variation on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 17-28.

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