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Global dynamics analysis of an SEIR epidemic model with discrete delay on complex network

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  • Liu, Qiming
  • Li, Hua

Abstract

A new epidemic SEIR model with discrete delay on complex network is discussed in this paper. The formula of the basic reproduction number R0 for the model is given, the global dynamics of this model is fully determined by R0, and it is proved that the disease dies out when R0<1, while the endemic equilibrium is globally stable and the disease becomes endemic.

Suggested Citation

  • Liu, Qiming & Li, Hua, 2019. "Global dynamics analysis of an SEIR epidemic model with discrete delay on complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 289-296.
    • Handle: RePEc:eee:phsmap:v:524:y:2019:i:c:p:289-296
    DOI: 10.1016/j.physa.2019.04.258
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    References listed on IDEAS

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    1. Chuangxia Huang & Jie Cao & Fenghua Wen & Xiaoguang Yang, 2016. "Stability Analysis of SIR Model with Distributed Delay on Complex Networks," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-22, August.
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    3. 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.
    4. Jiang, Zhichao & Ma, Wanbiao & Wei, Junjie, 2016. "Global Hopf bifurcation and permanence of a delayed SEIRS epidemic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 122(C), pages 35-54.
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    Cited by:

    1. Shou, Ming-Huan & Wang, Zheng-Xin & Lou, Wen-Qian, 2021. "Effect evaluation of non-pharmaceutical interventions taken in China to contain the COVID-19 epidemic based on the susceptible-exposed-infected-recovered model," Technological Forecasting and Social Change, Elsevier, vol. 171(C).

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