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| 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 | |
| 引用本文： | 李学志,杨宏志. 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[J]. 应用泛函分析学报, 2001, 3(2): 112-119 |
| 作者姓名： | 李学志 杨宏志 |
| 作者单位： | 1. 信阳师范学院数学系,河南,信阳,464000;中国科学院数学与系统科学研究院,北京,100080 2. 信阳师范学院数学系,河南,信阳,464000 |
| 基金项目： | the Naturd Science Foundation of Henan Province. |
| 摘 要： | 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(R)(ψ,λ)(λ为非病染人口的增长指数),证明了若(R)(ψ,λ)＜1,则无病平衡态是线性稳定的,若(R)(ψ,λ)＞1,则无病平衡态是不稳定的. |
| 关 键 词： | 年龄结构 肺结核传染病模型 TB传染病模型 接种疫苗 总人口规模变化 增值数 稳定性 再生数 无病平衡态 |
The ReproductiveNumber of an Age Structured TB Epidemic Model with Vaccination in Varying Total PopulationSize |
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| LI Xue-zhi,YANG Hong-zhi. The ReproductiveNumber of an Age Structured TB Epidemic Model with Vaccination in Varying Total PopulationSize[J]. Acta Analysis Functionalis Applicata, 2001, 3(2): 112-119 | |
| Authors: | LI Xue-zhi YANG Hong-zhi |
| Affiliation: | LI Xue-zhi,YANG Hong-zhi Department of Mathematics,Xinyang Normal University,Henan 464000,China Academy of Mathematics and System Sciences,Academia Sinica,Beijing 100080,China |
| Abstract: | 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 (R)(ψ,λ) in the presence of vaccine (λ is the exponent of growth of total population), and prove that the infectionfree steady state is linearly stable if (R)(ψ,λ)＜1 and unstable if (R)(ψ,λ)＞1.. |
| Keywords: | age-structured TB epidemic model vaccination varying total population size reproduction number stability |
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