| 一类具有饱和发生率和分布时滞的HIV感染模型的全局稳定性分析 |
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| 引用本文： | 方 彬,王 柱,李学志.一类具有饱和发生率和分布时滞的HIV感染模型的全局稳定性分析[J].信阳师范学院学报(自然科学版),2014(1):4-7. |
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| 作者姓名： | 方 彬 王 柱 李学志 |
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| 作者单位： | ;1.北京信息控制研究所;2.信阳师范学院数学与信息科学学院 |
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| 摘 要： | 建立了一类具有饱和发生率和分布时滞的HIV感染模型,给出了病毒感染再生数R0和CTL免疫再生数R1,证明了:当R0≤1时,未感染平衡点是全局稳定的;当R0>1>R1时,无免疫感染平衡点是全局稳定的;当R1>1时,免疫感染平衡点是全局稳定的.
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| 关 键 词： | 再生数 平衡点 Lyapunov函数 全局稳定性 |
Global Dynamics of an HIV Infection Model with Saturation Incidence and Distributed Delays |
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| Institution: | ,Beijing Institute of Information and Control,College of Mathematics and Information Science,Xinyang Normal University |
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| Abstract: | An HIV infection model with saturation incidence and two distributed delays was considered. The basic reproduction numbers for viral infection and for CTL immune response were obtained. It was proved that the infectionfree equilibrium is globally stable if R0≤1; the infected equilibrium without immune response is globally stable if R0> 1 > R1; and the infected equilibrium with immune response is globally stable if R1> 1. |
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| Keywords: | reproduction number equilibrium Lyapunov function global stability |
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