A class of SIR epidemic model with saturation incidence and age of infection

被引：3
|
作者：
Yang, Junyuan [1 ]
Zhang, Fengqin [1 ]
Wang, Xiaoyan [1 ]
机构：
[1] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China
来源：
SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 1, PROCEEDINGS | 2007年
关键词：
epidemic model; age of infection; local stability; saturation incidence;
D O I：
10.1109/SNPD.2007.74
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Saturating contact rate of individual contacts is very important in an epidemiology model. A class of SIR model with saturation incidence and age of infection(1) is formulated in this paper. The dynamical behavior of the model is studied and the basic reproductive number R-0 is defined. It is proved that the diseased free equilibrium is globally asymptotically stable if R-0 < 1. The endemic equilibrium is locally asymptotically stable if K-1 > a and R-0 > 1.
引用
收藏
页码：146 / +
页数：2
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