Backward bifurcations in simple vaccination models

被引:162
作者
Brauer, F [1 ]
机构
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/j.jmaa.2004.05.045
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We describe and analyze by elementary means some simple models for disease transmission with vaccination. In particular, we give conditions for the existence of multiple endemic equilibria and backward bifurcations. We extend the results to include models in which the parameters may depend on the level of infection. (C) 2004 Elsevier Inc. All rights reserved.
引用
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页码:418 / 431
页数:14
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