| 具有体液免疫反应的传染病模型稳定性分析 |
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| 引用本文： | 田海燕,陈富,康淑瑰.具有体液免疫反应的传染病模型稳定性分析[J].广西科学,2016,23(4):378-380. |
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| 作者姓名： | 田海燕 陈富 康淑瑰 |
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| 作者单位： | 山西大同大学数学与计算机科学学院,山西大同,037009 |
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| 基金项目： | 国家青年科学基金项目(11301312)，山西大同大学青年科学基金项目(2014Q10)，山西大同大学青年科学基金(2015K5)资助。 |
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| 摘 要： | 建立考虑潜伏感染细胞并具有体液免疫反应的传染病模型,讨论其解的非负性和有界性,得到确定模型动力学性态的基本再生数,再通过构造适当的Lyapunov泛函,并利用LaSalle不变原理证明模型无病平衡点的全局渐近稳定性.
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| 关 键 词： | 病毒感染 全局稳定性 免疫反应 李雅普诺夫函数 |
| 收稿时间： | 2016/3/20 0:00:00 |
Stability Analysis of an Infection Model with Humoral Immunity |
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| TIAN Haiyan,CHEN Fu and KANG Shugui.Stability Analysis of an Infection Model with Humoral Immunity[J].Guangxi Sciences,2016,23(4):378-380. |
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| Authors: | TIAN Haiyan CHEN Fu and KANG Shugui |
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| Institution: | School of Mathematics and Computer Science, Datong University, Datong, Shanxi, 037009, China,School of Mathematics and Computer Science, Datong University, Datong, Shanxi, 037009, China and School of Mathematics and Computer Science, Datong University, Datong, Shanxi, 037009, China |
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| Abstract: | In this paper,we built a virus dynamics model with humoral immune response inclu-ding latently infected cells,and then discussed the nonnegativity and boundedness of the solu-tion.The basic reproduction number was obtained,which determined the dynamical behaviors of the infection model.By constructing suitable Lyapunov functions and applying LaSalle’s in-variance principle we proved that the infection-free equilibrium was globally asymptotically sta-ble. |
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| Keywords: | virus infection global stability immune response Lyapunov function |
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