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Zbl 1247.34082
Chen, Xiangyong; Li, Chunji; Lü, Jufang; Jing, Yuanwei
The domain of attraction for a SEIR epidemic model based on sum of square optimization. (English)
[J] Bull. Korean Math. Soc. 49, No. 3, 517-528 (2012). ISSN 1015-8634

Summary: 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.

MSC 2000:: *34C60 Applications of qualitative theory of ODE
34D20 Lyapunov stability of ODE
93D20 Asymptotic stability of control systems
93B40 Computational methods in systems theory
34D05 Asymptotic stability of ODE
92D30 Epidemiology

Keywords: domain of attraction; SOS optimization; SEIR epidemic model

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