杭州师范大学学报（自然科学版）Issue(1)：81-87,7.DOI:10.3969/j.issn.1674-232X.2016.01.016
一类具有时滞的传染病模型的 Hopf 分支分析
Hopf Bifurcation of a Class of Delayed Epidemic Model
摘要
Abstract
Considering the impact of health examination and removing infectious diseases ,a new delayed SEIR model is proposed and investigated .Sufficient conditions for the local stability of the positive equilibrium and the existence of Hopf bifurcation are obtained .Further ,the properties of Hopf bifurcation ,such as the direction and stability ,are investigated by using the normal form theory and center manifold argument .The results of references are improved and extended .关键词
SEIR疾病模型/时滞/稳定性/Hopf分支/周期解Key words
SEIR epidemic model/delays/stability/Hopf bifurcation/periodic solution分类
数理科学引用本文复制引用
陶龙,曹磊,周文,张道祥..一类具有时滞的传染病模型的 Hopf 分支分析[J].杭州师范大学学报（自然科学版）,2016,(1):81-87,7.基金项目
国家自然科学基金项目（11302002）． （）
