| 年龄结构乙肝传染病模型及稳定性 |
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| 引用本文： | 刘纪轩,王改霞,李学志.年龄结构乙肝传染病模型及稳定性[J].应用数学,2019,32(3):600-607. |
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| 作者姓名： | 刘纪轩 王改霞 李学志 |
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| 作者单位： | 空军工程大学航空机务士官学校基础部;信阳学院数学与信息学院;河南师范大学数学与信息科学学院 |
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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乙肝传染病模型,得出基本再生数■的表达式,证明:当■<1时,无病平衡态局部渐近稳定且全局渐近稳定;当■> 1时,存在唯一的地方病平衡态,并给出地方病平衡态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 隔离 基本再生数 |
| 收稿时间： | 2018/7/30 0:00:00 |
Stability of Age-Structured Epidemiological Model with Hepatitis B |
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| LIU Jixuan,WANG Gaixia,LI Xuezhi.Stability of Age-Structured Epidemiological Model with Hepatitis B[J].Mathematica Applicata,2019,32(3):600-607. |
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| Authors: | LIU Jixuan WANG Gaixia LI Xuezhi |
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| Institution: | (Basic Department, Aeronautic Sergeant College of Air Force Engingeering University, Xinyang 464000,China;College of Mathematics and Information, Xinyang 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 number ■ is obtained. It is proved that when ■ < 1, the disease free equilibrium is locally asymptotically stable and globally asymptotically stable. When ■ >1, there is a unique endemic equilibrium, and the local asymptotic stability condition of endemic equilibrium is given. These conditions have important theoretical and practical significance in controlling the spread of diseases. |
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| Keywords: | Age-structured Isolation Basic reproductive number |
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