An SIS epidemic model with stage structure and a delay

被引：16
|
作者：
Xiao Y.-N. [1 ]
Chen L.-S. [1 ]
机构：
[1] Academy of Mathematics and System Sciences, Chinese Academy of Sciences
来源：
Acta Mathematicae Applicatae Sinica | 2002年 / 18卷 / 4期
基金：
中国博士后科学基金;
关键词：
Globally asymptotically stable; Hopf bifurcation; SIS epidemic model; Stage structure; Threshold;
D O I：
10.1007/s102550200063
中图分类号：
学科分类号：
摘要：
A disease transmission model of SIS type with stage structure and a delay is formulated. Stability of the disease free equilibrium, and existence, uniqueness, and stability of an endemic equilibrium, are investigated for the model. The stability results are stated in terms of a key threshold parameter. The effects of stage structure and time delay on dynamical behavior of the infectious disease are analyzed. It is shown that stage structure has no effect on the epidemic model and Hopf bifurcation can occur as the time delay increases. © Springer-Verlag 2002.
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收藏
页码：607 / 618
页数：11
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