| 非线性感染率的HIV模型的动力学研究 |
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| 引用本文： | 郭树敏,江晓武,宋新宇. 非线性感染率的HIV模型的动力学研究[J]. 数学的实践与认识, 2008, 38(22) |
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| 作者姓名： | 郭树敏 江晓武 宋新宇 |
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| 作者单位： | 1. 北京信息控制研究所,北京,100037;信阳师院,数学与信息科学院,河南,信阳,464000
2. 信阳师院,数学与信息科学院,河南,信阳,464000 |
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| 摘 要： | 众所周知,数学模型为引起人类免疫力缺乏的HIV-1型病毒和引起肝炎的HCV病毒的研究提供了重要信息.然而几乎所有的数学模型感染率都是线性的,而线性只是反映了T细胞与病毒分子之间的简单作用.这篇论文研究了一类具有非线性传染率的数学模型.通过分析我们得到了无病平衡态P0全局渐近稳定的条件及染病平衡态P-的稳定性条件.
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| 关 键 词： | 非线性发生率 全局稳定 HIV HCV |
Study of HIV Model with Nonlinear Infection Rate |
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| GUO Shu-min,JIANG Xiao-wu,SONG Xin-yu. Study of HIV Model with Nonlinear Infection Rate[J]. Mathematics in Practice and Theory, 2008, 38(22) |
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| Authors: | GUO Shu-min JIANG Xiao-wu SONG Xin-yu |
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| Affiliation: | 1.Beijing Institutes of Information Control;Beijing 100037;China;2.College of Mathematics and Information Science Xinyang NormalUniversity;Xinyang Henan 464000;China |
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| Abstract: | It is well known that the mathematical models provide very significant informations for the research of human immunodeficiency virus-type 1(HIV-1) and hepatitis C virus(HCV).However,the infection rate of almost all mathematical models is linear,the linearity shows the simple interaction between the T cells and the viral particles.This paper considers the mathematical model with one class of the non-linear infection rate.We analyzed that the sufficient conditions for the global stability of the uninfected eq... |
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| Keywords: | HIV HCV |
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