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

被引：350

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

页码：55 / 59

页数：5

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