A simple SIS epidemic model with a backward bifurcation

被引：291

作者：

van den Driessche, P ^{[1
]}

Watmough, J ^{[1
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2000年 / 40卷 / 06期

关键词：

SIS epidemic model; multiple equilibria; backward bifurcation; nonlinear Volterra integral equation; distributed delay;

D O I：

10.1007/s002850000032

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

It is shown that an SIS epidemic model with a non-constant contact rate may have multiple stable equilibria, a backward bifurcation and hysteresis. The consequences for disease control are discussed. The model is based on a Volterra integral equation and allows for a distributed infective period. The analysis includes both local and global stability of equilibria.

引用

页码：525 / 540

页数：16

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