| 一类具有体液免疫反应,且染病细胞存在返回期的HIV模型的全局稳定性分析 |
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| 引用本文： | 叶宏,夏米西努尔·阿布都热合曼.一类具有体液免疫反应,且染病细胞存在返回期的HIV模型的全局稳定性分析[J].新疆大学学报(理工版),2014(3):289-294. |
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| 作者姓名： | 叶宏 夏米西努尔·阿布都热合曼 |
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| 作者单位： | 新疆大学数学与系统科学学院 |
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| 基金项目： | 国家自然科学基金(11261056,11271312) |
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| 摘 要： | 研究了具有Beddington-DeAngelis发生率和体液免疫反应的HIV模型的全局性.模型包含了一个染病细胞返回期,在这个时期,染病细胞可能有一部分会返回到健康细胞当中.得到模型的基本再生数R0和免疫基本再生数R1.通过建立适当的Lyapunov函数,得出无病平衡点Q0,无免疫平衡点Q1和免疫平衡点Q2是全局渐近稳定的.
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| 关 键 词： | 体液免疫 染病细胞返回期 Beddington-DeAngelis发生率 Lyapunov函数 全局稳定性 |
Global Stability Analysis for HIV Infection Model with Humoral Immune Response and Include an Eclipse Stage of Infected Cells |
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| Institution: | YE Hong;Xamxinur Abdurahman;College of Mathematics and System Sciences, Xinjiang University; |
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| Abstract: | In this paper, an HIV infection model with Beddington-DeAngelis incidence rate and humoral immune response is investigated. The model includes an eclipse stage of infected cells, in this stage, the infected cells may revert to the uninfected class. We derive the basic reproduction number R0 and the immune response reproduction number R1 for the HIV infection model. By constructing suitable Lyapunov functionals, we have shown that the disease-free equilibrium Q0, the immune-free equilibrium Q1 and the immune equilibrium Q2 are globally asymptotically stable. |
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| Keywords: | Humoral immunity Eclipse stage of infected cells Beddington-DeAngelis incidence rate Lyapunov functional Global stability |
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