| 一类具有抗体免疫反应的病毒动力学模型的全局性态 |
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| 引用本文： | 郑重武,张凤琴.一类具有抗体免疫反应的病毒动力学模型的全局性态[J].北京工商大学学报(自然科学版),2009,27(6):62-65. |
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| 作者姓名： | 郑重武 张凤琴 |
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| 作者单位： | 1. 中北大学,理学院,山西,太原,030051
2. 运城学院,应用数学系,山西,运城,044000 |
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| 基金项目： | 山西省自然科学基金资助项目，山西省教育厅科技开发资助项目 |
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| 摘 要： | 建立并讨论了一类具有抗体免疫反应的病毒动力学模型.利用Lyapunov函数,我们获得了无病平衡点、无免疫平衡点以及正平衡点的全局性态.
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| 关 键 词： | 抗体免疫反应 平衡点 全局渐近稳定 Lyapunov函数 |
GLOBAL PROPERTIES OF VIRUS DYNAMICS MODELS WITH ANTIBODY IMMUNE RESPONSE |
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| ZHENG Chong-wu,ZHANG Feng-qin.GLOBAL PROPERTIES OF VIRUS DYNAMICS MODELS WITH ANTIBODY IMMUNE RESPONSE[J].Journal of Beijing Technology and Business University:Natural Science Edition,2009,27(6):62-65. |
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| Authors: | ZHENG Chong-wu ZHANG Feng-qin |
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| Institution: | ZHENG Chong-wu1,ZHANG Feng-qin2(1.Department of Mathematics,North University of China,Taiyuan 030051,China,2.Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,China) |
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| Abstract: | In this paper,we built and discussed a virus dynamics model with antibody immune response.By means of the Lyapunov function,we are obtained that the global properties ofinfection-free equilibrium,immune-free equilibrium and endemic equilibrium. |
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| Keywords: | antibody immune response equilibrium globally asymptotically stable Lyapunov function |
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