| 一类具有免疫时滞的病毒动力学模型的稳定性分析 |
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| 引用本文： | 郑重武,张凤琴.一类具有免疫时滞的病毒动力学模型的稳定性分析[J].纯粹数学与应用数学,2011,27(1):37-44. |
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| 作者姓名： | 郑重武 张凤琴 |
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| 作者单位： | 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，山西省重点扶持学科项目，运城学院基础研究项目 |
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| 摘 要： | 建立和分析了一类具有CTL免疫反应且带有免疫时滞的病毒动力学模型.讨论了系统解的有界性,并获得了无病平衡点全局渐近稳定以及正平衡点稳定的条件.最后借助Matlab对模型进行了数值模拟.
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| 关 键 词： | CTL免疫反应 平衡点 时滞 数值模拟 |
Stability analysis of a viral dynamic model with immune time delay |
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| ZHENG Chong-wu,ZHANG Feng-qin.Stability analysis of a viral dynamic model with immune time delay[J].Pure and Applied Mathematics,2011,27(1):37-44. |
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| Authors: | ZHENG Chong-wu ZHANG Feng-qin |
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| Institution: | (Department of Applied Mathematics, Yuncheng University,Yuncheng 044000, China) |
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| Abstract: | In this paper, an viral dynamic model with immune time delays is built and analyzed. We discussed the boundedness of the solution and obtained the sufficient conditions of the global stability of the infection-freee quilibrium and the local stability of the endemic equilibrium. Last the numerical simulations is given. |
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| Keywords: | CTL immune equilibrium time delay numerical simulations |
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