STABILITY OF AN SEIS EPIDEMIC MODEL WITH CONSTANT RECRUITMENT AND A VARYING TOTAL POPULATION SIZE  

作　　者：Chen Junjie Liu Xiangguan 

机构地区：[1]Dept. of Math. ,Zhejiang Univ. ,Hangzhou 310027,China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2006年第1期1-8,共8页高校应用数学学报（英文版）（B辑）

基　　金：SupportedbytheScienceFoundationoftheEducationCommitteeofZhejiangProvince(G20050433).

摘　　要：This paper considers an SEIS epidemic model with infectious force in the latent period and a general population-size dependent contact rate. A threshold parameter R is identified. If R≤1, the disease-free equilibrium O is globally stable. If R〉1, there is a unique endemic equilibrium and O is unstable. For two important special cases of bilinear and standard incidence ,sufficient conditions for the global stability of this endemic equilibrium are given. The same qualitative results are obtained provided the threshold is more than unity for the corresponding SEIS model with no infectious force in the latent period. Some existing results are extended and improved.This paper considers an SEIS epidemic model with infectious force in the latent period and a general population-size dependent contact rate. A threshold parameter R is identified. If R≤1, the disease-free equilibrium O is globally stable. If R〉1, there is a unique endemic equilibrium and O is unstable. For two important special cases of bilinear and standard incidence ,sufficient conditions for the global stability of this endemic equilibrium are given. The same qualitative results are obtained provided the threshold is more than unity for the corresponding SEIS model with no infectious force in the latent period. Some existing results are extended and improved.

关 键 词：epidemic model threshold  endemic equilibrium  latent period global stability. 

分 类 号：R51[医药卫生—内科学]