JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (1): 115-122.doi: 10.6040/j.issn.1671-9352.0.2016.117

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Analysis of an SEQIHRS epidemic model with media coverage

WU Jing-yuan, SHI Rui-qing*   

  1. School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, Shanxi, China
  • Received:2015-03-18 Online:2016-01-16 Published:2016-11-29

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Abstract: An SEQIHRS epidemic model is proposed for the transmission dynamics of an infectious disease with quarantine and isolation control strategies. Firstly, we obtain the effective reproduction number RC of the system. Secondly, simple calculations indicate that the system always exists a disease-free equilibrium, and it is locally asymptotically stable if RC<1, whereas it is unstable if RC>1. Thirdly, by use of central manifold theory, it is established that as RC passes through unity, transcritical bifurcation occurs in the system and the unique endemic equilibrium is asymptotically stable. In addition, mathematical results indicate that infectiousness of hospitalized individuals will determine how the government takes control measures.

Key words: epidemic model, stability, media coverage, equilibrium

CLC Number: 

  • O175
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