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
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;
Conference_Titel :
Computer Science and Network Technology (ICCSNT), 2011 International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4577-1586-0
DOI :
10.1109/ICCSNT.2011.6182426
