Effects of quarantine in six endemic models for infectious diseases

被引:289
作者
Hethcote, H
Ma, Z
Liao, SB
机构
[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[2] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Shaanxi, Peoples R China
关键词
infectious disease; quarantine; endemic; stability; Hopf bifurcation; periodic;
D O I
10.1016/S0025-5564(02)00111-6
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Thresholds, equilibria, and their stability are found for SIQS and SIQR epidemiology models with three forms of the incidence. For most of these models, the endemic equilibrium is asymptotically stable, but for the SIQR model with the quarantine-adjusted incidence, the endemic equilibrium is an unstable spiral for some parameter values and periodic solutions arise by Hopf bifurcation. The Hopf bifurcation surface and stable periodic solutions are found numerically. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:141 / 160
页数:20
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