中北大学学报（自然科学版）2012，Vol.33Issue(4)：376-380,5.DOI:10.3969/j.issn.1673-3193.2012.04.006
一类具有潜伏年龄结构的流行病模型的稳定性
Stability of an Age-Since-Infection Structured Epidemic Model
王桂花 1王海霞1
作者信息
- 1. 郑州师范学院数学与统计学院,河南郑州450044
- 折叠
摘要
Abstract
Many transmitted diseases have latent period, and the length of the latent period affects the disease incidence in general.So it considered an age-since-infection epidemic model, the model constructed by two ordinary differential equations and one partial differential equation.Disease-free steady state and epidemic steady state of the model was given, linked by a transcritical bifurcation.A local stability analysis of the equilibria was performed.It is shown that the dynamics of the model is determined by the threshold of the parameters, that is, the basic reproductive number R0.If the threshold value is less than one, i.e.R0<l, only the disease-free equilibrium exist and it is stable.While the threshold value is greater than one, i.e.R0>1, there is a unique endemic equilibrium, and it is stable.关键词
SEIS流行病模型/潜伏年龄结构/基本再生数/地方病平衡态/稳定性Key words
SEIS epdemic model/ age-since-infection/ basic reproductive number/ epidemic steady state/ stability分类
数理科学引用本文复制引用
王桂花,王海霞..一类具有潜伏年龄结构的流行病模型的稳定性[J].中北大学学报（自然科学版）,2012,33(4):376-380,5.
