| 一类具年龄结构和接种的非终生免疫型传染病模型 |
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| 引用本文： | 闫萍.一类具年龄结构和接种的非终生免疫型传染病模型[J].生物数学学报,2010(2):280-286. |
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| 作者姓名： | 闫萍 |
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| 作者单位： | [1]安徽农业大学理学院,安徽合肥230036 [2]新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
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| 基金项目： | 新疆维吾尔自治区高校科研计划项目（XJEDU2007103 ＆ XJEDU2007G01）资助. |
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| 摘 要： | 研究一类具年龄结构和接种的非终生免疫SIRS传染病模型平衡解的稳定性.首先利用特征线法讨论了模型平衡解的存在性,然后利用比较定理和逐次迭代法得到无病平衡解与地方病平衡解全局稳定性的充分条件.
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| 关 键 词： | 年龄结构 非终生免疫 逐次迭代法 平衡解 |
A Class of Age-Structured Infectious Diseases Model with Vaccination and Non-Lifelong Immunity |
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| YAN Ping.A Class of Age-Structured Infectious Diseases Model with Vaccination and Non-Lifelong Immunity[J].Journal of Biomathematics,2010(2):280-286. |
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| Authors: | YAN Ping |
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| Institution: | YAN Ping (1 School Of Science, Anhui Agricultural University, Hef ei Anhui 230036 China) (2 College of Mathematics and Science System, Xinjiang University, Urumqi Xinjiang 830046 China) |
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| Abstract: | In this paper, the stability of a class of age-structured infectious diseases model with vaccination and non-lifelong immunity is discussed. By using characteristic method, we present the existence of equilibrium solutions. With the comparison theorem and successive iteration method, the sufficient conditions of the stability of the equilibrium solutions are given. |
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| Keywords: | Age-structured Non-lifelong imnmnity Successive iteration method Equilibrium solutions |
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