| HIV病理动力学模型分析 |
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| 引用本文： | 苏双双,王凯,夏米希努尔.HIV病理动力学模型分析[J].吉林林学院学报,2011(6):621-626. |
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| 作者姓名： | 苏双双 王凯 夏米希努尔 |
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| 作者单位： | [1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046 [2]新疆医科大学医学工程与技术学院,新疆乌鲁木齐830054 |
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| 摘 要： | 考虑了CD4＋T细胞的全logistic自我繁殖,构造了具有治疗的HIV病理研究模型,研究了解的存在性、正性及稳定性.通过对每个感染T细胞释放的HIV病毒平均数量N的讨论,得到：如果NNcrit,有无病平衡点和地方病平衡点两个平衡点,但此时无病平衡点不稳定,地方病平衡点是局部渐近稳定的.最后通过构造Dulac-Bendison函数,得到了地方病平衡点全局稳定的条件.
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| 关 键 词： | HIV T细胞 渐近稳定 平衡点 |
Analysis of the Dynamics Model of HIV Pathogenesis Model |
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| Institution: | SU Shuang-shuang,WANG Kai,Xamxinur(1.College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China; 2.Department of Medical Engineering and Technology,Xinjiang Medical University,Urumqi 830054,China) |
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| Abstract: | HIV virus,which invade the human body,mostly parasitic in the T cells,where they transcribe RNA,duplicate,then generate some new ones,at last kill the infected T cells,released from them.According to this we divide the species in this paper into three kinds：uninfected T cells,infected T cells and HIV.Only uninfected T cells can be created by body,others can＇t increase because of external input.Being predator,HIV just add from infected T cells.We have proved that if NNcrit,the uninfected steady state is locally asymptotically stable,if NNcrit,the infected steady state is locally asymptotically stable.Both of them are globally asymptotically stable if one condition is satisfied. |
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| Keywords: | HIV T cells asymptotically stable equilibrium |
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