Complete global stability for an SIR epidemic model with delay - Distributed or discrete

被引：343
|
作者：
McCluskey, C. Connell [1 ]
机构：
[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 01期
关键词：
Delay; Distributed delay; Global stability; Lyapunov functional; INFECTIOUS-DISEASES; TIME DELAYS;
D O I：
10.1016/j.nonrwa.2008.10.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
SIR models With distributed delay and with discrete delay are studied. The global dynamics are fully determined for R(0) > 1 by using a Lyapunov functional. For each model it is shown that the endemic equilibrium is globally asymptotically stable whenever it exists. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：55 / 59
页数：5
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