DocumentCode
1805147
Title
Dynamic analysis of an SEIS model with bilinear incidence rate
Author
Li, Jun-hong ; Cui, Ning ; Niu, Lianjie ; Zhang, Jianmei
Author_Institution
Dept. of Math. & Sci., Hebei Inst. of Archit.&Civil Eng., Zhangjiakou, China
Volume
4
fYear
2011
fDate
24-26 Dec. 2011
Firstpage
2268
Lastpage
2271
Abstract
This paper investigates an SEIS model with bilinear incidence rate. By means of Lyapunov function theorem, we proved the global asymptotical stable results of the disease-free equilibrium and the endemic equilibrium. In addition, we also study the phenomena of Hopf bifurcation and limit cycle of the systems with the numerical simulations.
Keywords
Lyapunov methods; asymptotic stability; diseases; epidemics; Hopf bifurcation; Lyapunov function theorem; SEIS model; bilinear incidence rate; disease-free equilibrium; dynamic analysis; endemic equilibrium; global asymptotic stabililty; limit cycle; susceptible-exposed-infectious model; Phase locked loops; SEIS model; bilinear incidence rate; global stability; limit cycle; numerical simulations;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Science and Network Technology (ICCSNT), 2011 International Conference on
Conference_Location
Harbin
Print_ISBN
978-1-4577-1586-0
Type
conf
DOI
10.1109/ICCSNT.2011.6182426
Filename
6182426
Link To Document