| 具有饱和发生率的病毒感染模型的全局稳定性分析 |
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| 引用本文： | 季语,闵乐泉,苏永美,郑宇.具有饱和发生率的病毒感染模型的全局稳定性分析[J].生物数学学报,2010(2):267-272. |
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| 作者姓名： | 季语 闵乐泉 苏永美 郑宇 |
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| 作者单位： | [1]北京科技大学信息工程学院,北京100083 [2]北京科技大学应用科学学院,北京100083 |
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| 基金项目： | 国家自然科学基金资助项目（No.60674059） |
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| 摘 要： | 讨论了一类具有饱和发生率的病毒感染数学模型,分析得到了无病平衡点和持续带毒平衡点的全局稳定性条件.当病毒感染的基本再生数R_01时,无病平衡点全局渐近稳定;当R_01时,持续带毒平衡点全局渐近稳定.
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| 关 键 词： | 病毒感染模型 饱和发生率 稳定性 基本再生数 |
Global Stability of a Viral Infection Model with Saturation Incidence |
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| JI Yu,MIN Le-quan,SU Yong-mei,ZHENG Yu.Global Stability of a Viral Infection Model with Saturation Incidence[J].Journal of Biomathematics,2010(2):267-272. |
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| Authors: | JI Yu MIN Le-quan SU Yong-mei ZHENG Yu |
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| Institution: | 1 Information Engineering School, Beijing 100083 China) (2 Applied Science School University of Science and Technology Beijing, Beijing 100083 China) |
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| Abstract: | A basic viral infection model with saturation incidence is investigated in this paper, and the global stabilities of the infection-free equilibrium and the infected equilibrium are obtained. The infection-free equilibrium is globally asymptotical stable when the basic reproductive number R0 〈 1. If R0 〉 1, the infected equilibrium is globally asymptotical stable. |
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| Keywords: | Viral infection model Saturation incidence Stability Basic reproductive number |
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