| 引用本文： |
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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. [点击复制]
- TIAN Haiyan,CHEN Fu,KANG Shugui.Stability Analysis of an Infection Model with Humoral Immunity[J].Guangxi Sciences,2016,23(4):378-380. [点击复制]
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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. |
| 关键词: 病毒感染 全局稳定性 免疫反应 李雅普诺夫函数 |
| DOI：10.13656/j.cnki.gxkx.20160913.006 |
| 投稿时间：2016-03-20 |
| 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)和山西大同大学青年科学基金(2015K5)资助。 |
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| Stability Analysis of an Infection Model with Humoral Immunity |
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TIAN Haiyan, CHEN Fu, KANG Shugui
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| (School of Mathematics and Computer Science, Datong University, Datong, Shanxi, 037009, China) |
| Abstract: |
| In this paper,we built a virus dynamics model with humoral immune response including latently infected cells,and then discussed the nonnegativity and boundedness of the solution.The basic reproduction number was obtained,which determined the dynamical behaviors of the infection model.By constructing suitable Lyapunov functions and applying LaSalle's invariance principle we proved that the infection-free equilibrium was globally asymptotically stable. |
| Key words: virus infection global stability immune response Lyapunov function |
