总人口规模变化和带接种疫苗的年龄结构TB传染病模型的再生数(英文)

The Reproductive Number of an Age Structured TB Epidemic Model with Vaccination in Varying Total Population Size

本文讨论总人口规模变化和带接种疫苗的年龄结构肺结核传染病模型，给出了该模型增值数的显式表达式（ψ，λ（λ为非病染人口的增长指数），证明了若（ψ，λ）＜ｌ，则无病平衡态是线性稳定的，若（ψ，λ）＞１，则无病平衡态是不稳定的．

This paper focuses on the study of an age-structured TB epidemic model with a vaccination program in varying total population size. We give the explicit expression of the reproduction number (ψ, λ) in the presence of vaccine (λ is the exponent of growth of total population), and prove that the infection- free steady state is linearly stable if (ψ,λ) <1 and unstable if (ψ,λ) >1..