井冈山大学学报（自然科学版）Issue(4)：13-16,4.DOI:10.3969/j.issn.1674-8085.2015.04.003
一类具有饱和传染率、免疫接种和垂直传染的SIR传染病模型的全局稳定性分析
GLOBAL STABILITY OF A SIR EPIDEMIC MODEL WITH SATURATING INFECT RATE,VACCINATION AND VERTICAL TRANSMISSION
摘要
Abstract
In this paper, the SIR epidemic model with saturating infect rate, vaccination and vertical transmission is studied; the basic reproduction numberR0 for the existence of infectivedisease was established. If R0<1, the disease-free equilibrium is global asymptotically stable. IfR0>1, a unique endemic equilibrium exists and is globally stable in the interior of the feasible region .We discuss the biological significance at the end.关键词
SIR传染病模型/饱和传染率/免疫接种/垂直传染/稳定性Key words
SIR epidemic model/saturating infect rate/vaccination/vertical transmission/equilibrium/global stability分类
数理科学引用本文复制引用
朱春娟..一类具有饱和传染率、免疫接种和垂直传染的SIR传染病模型的全局稳定性分析[J].井冈山大学学报（自然科学版）,2015,(4):13-16,4.基金项目
韶关市科技计划项目 （）
