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Dynamics Analysis of an Epidemiological Model with Media Impact and Two Delays

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  • Lianwen Wang
  • Yong Li
  • Liuyong Pang

Abstract

This paper is concerned with exploring the global dynamics of SEIR epidemic model with media impact, which incorporates latency and relapse delays. The permanence of the model is carefully discussed. By suitable Lyapunov functionals, we establish the global stability of the equilibria. It is found that the basic reproduction number completely determines the threshold dynamics of the SEIR model. Finally, the impact of media on the epidemic spread is studied, which reveals that timely response of media and individuals may play a more key role in disease control.

Suggested Citation

  • Lianwen Wang & Yong Li & Liuyong Pang, 2016. "Dynamics Analysis of an Epidemiological Model with Media Impact and Two Delays," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-9, January.
    • Handle: RePEc:hin:jnlmpe:1598932
    DOI: 10.1155/2016/1598932
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    Cited by:

    1. Li, Yong & Liu, Xianning & Yuan, Yiyi & Li, Jiang & Wang, Lianwen, 2022. "Global analysis of tuberculosis dynamical model and optimal control strategies based on case data in the United States," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    2. Naim, Mouhcine & Lahmidi, Fouad & Namir, Abdelwahed & Kouidere, Abdelfatah, 2021. "Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Mahajan, Shveta & Kumar, Deepak & Verma, Atul Kumar & Sharma, Natasha, 2023. "Dynamic analysis of modified SEIR epidemic model with time delay in geographical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).

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