| 具有饱和发生率和免疫响应的病毒感染模型的稳定性分析 |
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| 引用本文： | 季语,闵乐泉,郑宇,苏永美.具有饱和发生率和免疫响应的病毒感染模型的稳定性分析[J].数学的实践与认识,2010,40(14). |
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| 作者姓名： | 季语 闵乐泉 郑宇 苏永美 |
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| 摘 要： | 提出了具有饱和发生率和免疫响应的病毒感染数学模型,得到了基本再生数R_0的表达式.当R_01时,证明了无病平衡点是全局渐近稳定的;当R_01时,得到了免疫耗竭平衡点和持续带毒平衡点局部渐近稳定的条件.
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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 |
Stability Analysis of a Viral Infection Model with Saturation Incidence and Immune Response |
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| JI Yu,MIN Le-quan,ZHENG Yu,SU Yong-mei.Stability Analysis of a Viral Infection Model with Saturation Incidence and Immune Response[J].Mathematics in Practice and Theory,2010,40(14). |
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| Authors: | JI Yu MIN Le-quan ZHENG Yu SU Yong-mei |
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| Abstract: | A viral infection model with saturation incidence is investigated in this paper, the basic reproductive number R_0 is obtained.It is proved that the infection-free equilibrium is global asymptotically stable if R_0<1,and the conditions of the local stabilities of the immune-exhausted equilibrium and infected equilibrium are also obtained if R_0>1. |
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| Keywords: | viral infection model saturation incidence stability basic reproductive number |
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