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.
Xiangyong Chen, Chunji Li, Jufang L\"{u}, and Yuanwei Jing
Northeastern University, Northeastern University, Northeastern University, Northeastern University
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
2009; 46(6): 1237-1248
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