| 丙型肝炎中免疫模型的动力学分析 |
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| 引用本文： | 刘畅,王万雄,安新磊.丙型肝炎中免疫模型的动力学分析[J].数学的实践与认识,2010,40(7). |
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| 作者姓名： | 刘畅 王万雄 安新磊 |
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| 作者单位： | 1. 兰州交通大学数理与软件工程学院,甘肃兰州,730030
2. 甘肃农业大学理学院,甘肃兰州,730070 |
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| 基金项目： | 国家自然科学基金(30970478,30960187) |
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| 摘 要： | 对肝炎C病毒与宿主细胞及免疫反应之间关系的动力系统进行了分析,得到了模型平衡点的存在条件,并对复杂的平衡点进行了数值模拟,模拟结果显示系统是趋于渐进稳定的.而且对染病初期,进行抗病毒治疗的数学模型也进行了数值模拟,并且能够达到预期的效果.
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| 关 键 词： | HCV 免疫反应 数值模拟 动力系统 渐进稳定 |
Dynamics Analysis of The Model for The Immunity in HCV |
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| LIU Chang,WANG Wan-xiong,AN Xin-lei.Dynamics Analysis of The Model for The Immunity in HCV[J].Mathematics in Practice and Theory,2010,40(7). |
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| Authors: | LIU Chang WANG Wan-xiong AN Xin-lei |
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| Institution: | LIU Chang~1,WANG Wan-xiong~2,AN Xin-lei~1 (1.School of Mathematics Physics , Software Engineering,Lanzhou Jiaotong University,Lanzhou 730030,China) (2.Department of Mathematics,Gansu Agricultural University,Lanzhou 730070,China) |
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| Abstract: | In this paper,The dynamic system of the relationship among the HCV,the host cells,and the Immune response is analysed,It is found that the existence of equilibrium conditions in that model.,and the numerical simulation to the complex equilibrium,The results of simulation show that the system is asymptotic stability.For the early infectious, We also simulate the mathematical model for antiviral therapy,and it can reach the effect of expectations. |
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| Keywords: | HCV immune response numerical simulation dynamic system asymptotical stability |
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