| 考虑治疗的离散HIV病毒模型的动力学性态（英文） |
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| 引用本文： | 马 霞,曹 慧.考虑治疗的离散HIV病毒模型的动力学性态（英文）[J].应用数学,2020,33(1):1-11. |
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| 作者姓名： | 马 霞 曹 慧 |
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| 作者单位： | 1. 太原工业学院理学系, 山西 太原 030008; 2. 陕西科技大学理学院, 陕西 西安 710021 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11301314);Program for the Reserved Discipline Leaders of Taiyuan Institute of Technology(2018008) |
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| 摘 要： | 本文主要研究一类带有治疗的离散HIV模型的持续性和全局稳定性.通过定义基本再生数,我们得到当R0<1时,模型的非感染平衡点是全局渐近稳定的,病毒将会消失.当R0>1时,病毒将会持续存在.通过构造李雅普诺夫函数证明了当1
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| 关 键 词： | 离散HIV病毒模型 基本再生数 持续性 全局稳定性 李雅普诺夫函数 |
Threshold Dynamics of Discrete HIV Virus Model with Therapy |
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| MA Xia,CAO Hui.Threshold Dynamics of Discrete HIV Virus Model with Therapy[J].Mathematica Applicata,2020,33(1):1-11. |
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| Authors: | MA Xia CAO Hui |
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| Institution: | (Department of Science,Taiyuan Institute of Technology,Taiyuan 030008,China;College of Science,Shaanxi University of Science and Technology,Xi'an 710021,China) |
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| Abstract: | In the paper,we mainly investigate the permanence and the global stability of the discrete HIV model with therapy.By defining the basic reproduction number R0,we conclude the uninfected state P^0 is globally stable when R0<1,therefore the virus will be extinct.However,the virus will be persistent when R0>1.we also obtain the infected state P^* is globally stable when 1
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| Keywords: | Discrete HIV virus model Basic reproduction number Persistent Globally asymptotically stability Lyapunov function |
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