Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2012; 49(3): 517-528

Printed May 1, 2012

https://doi.org/10.4134/BKMS.2012.49.3.517

Copyright © The Korean Mathematical Society.

The domain of attraction for a SEIR epidemic model based on sum of square optimization

Xiangyong Chen, Chunji Li, Jufang L\"{u}, and Yuanwei Jing

Northeastern University, Northeastern University, Northeastern University, Northeastern University

Abstract

This paper is estimating the domain of attraction for a class of susceptible-exposed-infectious-recovered (SEIR) epidemic dynamic mo\-dels 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

MSC numbers: 34D20, 92B05, 93D20, 93B40

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