DocumentCode
2552414
Title
Qualitative Analysis of an SEIR Model with Varying Total Population Size and Vaccination
Author
Zhao, Huitao ; Dai, Yunxian ; Lin, Yiping
Author_Institution
Dept. of Appl. Math., Kunming Univ. of Sci. & Technol., Kunming, China
fYear
2012
fDate
18-21 Oct. 2012
Firstpage
104
Lastpage
108
Abstract
An SEIR model with varying total population size and continuous vaccination is proposed. The stability of the disease-free equilibrium is discussed, and the global stability of the disease-free equilibrium is discussed with the Lasalle´s invariance principle. Using analytical methods, the existence and uniqueness of the positive equilibrium are obtained, and it´s stability is also discussed by Routh-Hurwith criterion. Finally, numerical simulations are also included.
Keywords
epidemics; numerical analysis; Lasalle invariance principle; Routh-Hurwith criterion; SEIR model; analytical methods; disease-free equilibrium; global stability; numerical simulations; population size; qualitative analysis; vaccination; Biological system modeling; Diseases; Mathematical model; Numerical stability; Sociology; Stability analysis; Statistics; SEIR model; backword bifurcation; global stability; threshold value; vaccination;
fLanguage
English
Publisher
ieee
Conference_Titel
Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on
Conference_Location
Dalian
Print_ISBN
978-1-4673-2825-8
Type
conf
DOI
10.1109/IWCFTA.2012.31
Filename
6383265
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