郑州大学学报（理学版）2017，Vol.49Issue(2)：30-36,7.DOI:10.13705/j.issn.1671-6841.2016208
一类具有饱和发生率和治愈率的SEIR模型研究
Analysis of an SEIR Model with Saturated IncidentRate and Treatment Rate
摘要
Abstract
An SEIR epidemic model with saturated incident rate and saturated treatment function and considered the impact of vaccination and vertical transmission was studied.The existence of equilibrium point of the model was studied and the basic reproductive number R0of the model was given.It was shown that there existed a backward when R0=1. At this time a new threshold R0was obtained and got a conclusion that the disease would gradually become extinct when R0<R*0<1. Then, the locally stability of equilibrium point of the model was studied and the sufficient condition of the model appear backward was given.Finally, the globally stability was discussed.关键词
饱和发生率/饱和治愈率/垂直传染/预防接种/SEIR/后向分支Key words
saturated incidence rate/saturated treatment/vertical transmission/vaccination/SEIR/backward branch分类
数理科学引用本文复制引用
杨彩虹,胡志兴..一类具有饱和发生率和治愈率的SEIR模型研究[J].郑州大学学报（理学版）,2017,49(2):30-36,7.基金项目
国家自然科学基金项目(61174209,11471034). （61174209,11471034）
