| 改进的病毒感染动力学模型的稳定性分析 |
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| 引用本文： | 郑宇,闵乐泉,季语,苏永美.改进的病毒感染动力学模型的稳定性分析[J].生物数学学报,2011(1):129-133. |
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| 作者姓名： | 郑宇 闵乐泉 季语 苏永美 |
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| 作者单位： | [1]北京科技大学信息工程学院,北京100083 [2]北京科技大学数理学院,北京100083 |
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| 基金项目： | 国家自然科学基金资助项目（61074192）; 十一五国家科技重大专项“艾滋病和病毒性肝炎等重大传染病防治”（2008ZX10005-006） |
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| 摘 要： | 提出一个改进的乙肝病毒感染动力学模型.本模型有三个平衡点.对于HBV感染人群,三个平衡点分别对应于三类人群：感染病毒后自愈人群、健康带毒人群、慢性乙肝患者人群.证明了当模型导出的基本复制数R_0〈1时病毒清除平衡点具有局部稳定性和全局渐近稳定性,当1〈R_0〈k_3d/（k_2λ-k_3a）＋1时持续带毒平衡点具有局部稳定性.
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| 关 键 词： | 病毒感染模型 乙肝病毒感染 平衡点 稳定性 |
Stability of Dynamics of Amend Basic Model of Virus Infection Model |
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| ZHENG Yu,MIN Le-quan,JI Yu,SU Yong-mei.Stability of Dynamics of Amend Basic Model of Virus Infection Model[J].Journal of Biomathematics,2011(1):129-133. |
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| Authors: | ZHENG Yu MIN Le-quan JI Yu SU Yong-mei |
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| Affiliation: | 1 Information Engineering School,University of Science and Technology,Beijing 100083 China) (2 Applied Science School,University of Science and Technology Beijing,Beijing 100083 China) |
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| Abstract: | This paper proposes an amend basic hepatitis B virus（HBV）infection model. This model has three equilibrium points.For infected HBV population,the three equilibrium points correspond the complete recovery population,healthy HBV carriers and chronical hepatitis B patients.It is shown that If the basic reproduction number R_01,the infection free equilibrium is locally stable and globally asymptotically stable.If 1R_0k_3d/（k_2λ-k_3a）-1,the endemic equilibrium with no immune response is locally stable. |
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| Keywords: | Virus infection model Hepatitis B virus infection Equilibrium Stability |
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