THE DOMAIN OF ATTRACTION FOR A SEIR EPIDEMIC MODEL BASED ON SUM OF SQUARE OPTIMIZATION

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 49, Issue 3, 2012, pp.517-528
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2012.49.3.517

Title & Authors

THE DOMAIN OF ATTRACTION FOR A SEIR EPIDEMIC MODEL BASED ON SUM OF SQUARE OPTIMIZATION

Chen, Xiangyong; Li, Chunji; Lu, Jufang; Jing, Yuanwei;

Chen, Xiangyong; Li, Chunji; Lu, Jufang; Jing, Yuanwei;

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.

Keywords

domain of attraction;SOS optimization;SEIR epidemic model;

Language

English

Cited by

1.

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