| 一类具有时滞的CTL免疫反应的病毒动力学模型的稳定性分析 |
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| 引用本文： | 李祺,窦霁虹,石金喜.一类具有时滞的CTL免疫反应的病毒动力学模型的稳定性分析[J].纺织高校基础科学学报,2013(1):32-35,64. |
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| 作者姓名： | 李祺 窦霁虹 石金喜 |
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| 作者单位： | 西北大学数学系 |
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| 基金项目： | 陕西省教育厅自然科学专项基金项目(11JK0511) |
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| 摘 要： | 建立和分析了一类具有Holling Ⅱ 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，并通过分析平衡点处的特征方程，得到无病平衡点的全局稳定性和正平衡点稳定的条件．其结果推广了基本动力学系统，且可以用来解释免疫状态的复杂性．
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| 关 键 词： | CTL免疫反应 病毒动力学模型 时滞 平衡点 |
Stability analysis of basic virus dynamics model with time delays |
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| LI Qi,DOU Ji-hong,SHI Jin-xi.Stability analysis of basic virus dynamics model with time delays[J].Basic Sciences Journal of Textile Universities,2013(1):32-35,64. |
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| Authors: | LI Qi DOU Ji-hong SHI Jin-xi |
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| Affiliation: | (Department of Mathematics,Northwest University,Xi′an 710127,China) |
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| Abstract: | In this paper,a model with time delays is built on the basic dynamic virus system. By analyzing the characteristic equation of the linearized system of original at the positive equilibrium,the stability of the positive equilibrium is discussed. It is found that time delays affect the stability of equilibrium. The results can be used to explain the complexity of the immune state and generalize the basic virus dynamics model. |
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| Keywords: | CTL immune virus dynamics model time delays equilibrium |
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