| 一年龄结构乙肝传染病模型及稳定性 |
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| 引用本文： | 王改霞 刘纪轩 李学志. 一年龄结构乙肝传染病模型及稳定性[J]. 应用数学, 2020, 33(3): 699-706 |
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| 作者姓名： | 王改霞 刘纪轩 李学志 |
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| 作者单位： | 1. 信阳学院数学与统计学院, 河南 信阳 464000; 2. 空军工程大学航空机务士官学校基础部, 河南 信阳 464000; 3. 河南师范大学数学与信息科学学院, 河南 新乡 453007 |
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| 基金项目： | 国家自然科学基金(11271314);河南省科技创新人才计划项目(144200510021);河南省高等学校重点科研项目(17A110030)。 |
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| 摘 要： | 本文讨论一年龄结构的乙肝传染病模型,得到基本再生数ℜ0的表达式,证明当ℜ0<1时,无病平衡点局部渐近稳定且全局渐近稳定;当ℜ0>1时,存在唯一的地方病平衡点,并给出地方病平衡点的局部渐近稳定性条件,这些条件对于控制疾病的传播具有重要的理论及实际意义.
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| 关 键 词： | 年龄结构 潜伏类 基本再生数 |
Stability of an Age-Structured Infectious Disease Modelwith Hepatitis B |
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| WANG Gaixia,LIU Jixuan,LI Xuezhi. Stability of an Age-Structured Infectious Disease Modelwith Hepatitis B[J]. Mathematica Applicata, 2020, 33(3): 699-706 |
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| Authors: | WANG Gaixia LIU Jixuan LI Xuezhi |
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| Affiliation: | (College of Mathematics and Statistics,Xinyang University,Xinyang 464000,China;Basic Department,Aeronautic Sergeant College of Air Force Engingeering University,Xinyang 464000,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China) |
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| Abstract: | An age structured hepatitis B infectious disease model is discussed,and the expression of basic reproductive numberℜ0 is obtained.It is proved that whenℜ0<1,the disease free equilibrium is locally asymptotically stable and globally asymptotically stable,and whenℜ0>1,there is an unique endemic equilibrium,and the local asymptotic stability conditions of endemic equilibrium are given.These conditions have important theoretical and practical signiifcance in controlling the spread of diseases. |
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| Keywords: | Age-structured Latent class Basic reproductive number |
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