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Stability and bifurcation for an SEIS epidemic model with the impact of media

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  • Huo, Hai-Feng
  • Yang, Peng
  • Xiang, Hong

Abstract

A novel SEIS epidemic model with the impact of media is introduced. By analyzing the characteristic equation of equilibrium, the basic reproduction number is obtained and the stability of the steady states is proved. The occurrence of a forward, backward and Hopf bifurcation is derived. Numerical simulations and sensitivity analysis are performed. Our results manifest that media can regard as a good indicator in controlling the emergence and spread of the epidemic disease.

Suggested Citation

  • Huo, Hai-Feng & Yang, Peng & Xiang, Hong, 2018. "Stability and bifurcation for an SEIS epidemic model with the impact of media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 702-720.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:702-720
    DOI: 10.1016/j.physa.2017.08.139
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    References listed on IDEAS

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    1. Wallis, Patrick & Nerlich, Brigitte, 2005. "Disease metaphors in new epidemics: the UK media framing of the 2003 SARS epidemic," Social Science & Medicine, Elsevier, vol. 60(11), pages 2629-2639, June.
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    Cited by:

    1. Zhang, Jia-Fang & Wang, Shaoli & Kong, Xiangjun, 2018. "Effects of toxin delay on the dynamics of a phytoplankton–zooplankton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1150-1162.
    2. Liu, Huijuan & Zhang, Jia-Fang, 2019. "Dynamics of two time delays differential equation model to HIV latent infection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 384-395.
    3. Zhang, Zizhen & Kundu, Soumen & Tripathi, Jai Prakash & Bugalia, Sarita, 2020. "Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    4. Buonomo, Bruno & Della Marca, Rossella, 2019. "Oscillations and hysteresis in an epidemic model with information-dependent imperfect vaccination," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 97-114.
    5. Shah, Zakir & Ghani, Usman & Asmi, Fahad & Wei, Lu & Qaisar, Sara, 2021. "Exposure to terrorism-related information on SNSs and life dissatisfaction: The mediating role of depression and moderation effect of social support," Technology in Society, Elsevier, vol. 64(C).
    6. Huo, Hai-Feng & Jing, Shuang-Lin & Wang, Xun-Yang & Xiang, Hong, 2020. "Modeling and analysis of a H1N1 model with relapse and effect of Twitter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    7. Chen, Zhewen & Tian, Zhuyan & Zhang, Shuwen & Wei, Chunjin, 2020. "The stationary distribution and ergodicity of a stochastic phytoplankton–zooplankton model with toxin-producing phytoplankton under regime switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    8. Tomovski, Igor & Basnarkov, Lasko & Abazi, Alajdin, 2022. "Endemic state equivalence between non-Markovian SEIS and Markovian SIS model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).

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