AN SIRS EPIDEMIC MODEL  

作　　者：ChenJunjie 

机构地区：[1]ZhejiangUniv,Hangzhou310027,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2004年第1期101-108,共8页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the Science and Technology Foundation of Zhejiang University(1 0 70 0 0 - 54430 1 )

摘　　要：This paper considers an SIRS epidemic model that incorporates constant immigrati on rate, a general population size dependent contact rate and proportional tran sfer rate from the infective class to susceptible class.A threshold parameter σ is identified. If σ≤1, the disease free equilibrium is globally stab le. If σ>1, a unique endemic equilibrium is locally asymptotically stable. For two important special cases of mass action incidence and standard incidence, global stability of the endemic equilibrium is proved provided the threshold is larger than unity. Some previous results are extended and improved.This paper considers an SIRS epidemic model that incorporates constant immigrati on rate, a general population size dependent contact rate and proportional tran sfer rate from the infective class to susceptible class.A threshold parameter σ is identified. If σ≤1, the disease free equilibrium is globally stab le. If σ>1, a unique endemic equilibrium is locally asymptotically stable. For two important special cases of mass action incidence and standard incidence, global stability of the endemic equilibrium is proved provided the threshold is larger than unity. Some previous results are extended and improved.

关 键 词：epidemic model threshold endemic equilibrium global stability.  ON 3  CHOOSABILITY OF PLANE GRAPHS   WITHOUT 6   7   AND 9  CYCLES$$$$  Zhang Haihui    1 2  Xu Baogang  11School of Math. and Comput. Sci. Nanjing Normal Univ. Nanji ng 21009 

分 类 号：R181.25[医药卫生—流行病学]