Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THE DOMAIN OF ATTRACTION FOR A SEIR EPIDEMIC MODEL BASED ON SUM OF SQUARE OPTIMIZATION

  • Chen, Xiangyong (School of Information Science and Engineering Northeastern University) ;
  • Li, Chunji (Institute of System Science College of Sciences Northeastern University) ;
  • Lu, Jufang (College of Sciences Northeastern University) ;
  • Jing, Yuanwei (School of Information Science and Engineering Northeastern University)
  • Received : 2011.01.04
  • Published : 2012.05.31
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Abstract

This paper is estimating the domain of attraction for a class of susceptible-exposed-infectious-recovered (SEIR) epidemic dynamic models by using sum of squares optimization. First, the stability is analyzed for the equilibriums of SEIR model, and the domain of attraction in the endemic equilibrium is estimated by using sum of squares optimization. Finally, a numerical example is examined.

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