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
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;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on
Conference_Location :
Dalian
Print_ISBN :
978-1-4673-2825-8
DOI :
10.1109/IWCFTA.2012.31
