Delay versus age-of-infection - Global stability

被引：20
|
作者：
McCluskey, C. Connell [1 ]
机构：
[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 07期
关键词：
Delay; Age-of-infection; Global stability; Lyapunov functional; MODEL;
D O I：
10.1016/j.amc.2010.08.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an SIR model of disease transmission which has been formulated with delay in order to give a fixed duration of infectiousness. A Lyapunov functional that has worked for similar models does not work here. Instead, the model is shown to be a consequence of an age-of-infection model for which the same class of Lyapunov functionals has worked, resolving the global stability. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：3046 / 3049
页数：4
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