| 具有饱和丢失感染细胞的病毒模型的全局动力学性质 |
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| 引用本文： | 宋新宇,查新月.具有饱和丢失感染细胞的病毒模型的全局动力学性质[J].信阳师范学院学报(自然科学版),2005,18(3):262-267. |
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| 作者姓名： | 宋新宇 查新月 |
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| 作者单位： | 1. 信阳师范学院数学与信息科学学院,河南信阳,464000
2. 信阳职业技术学院,河南信阳,464000 |
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| 基金项目： | supported by the National Natural Science Foundation of China （ 10471117 ） ;the Henan Innovation Project for University Promnent Research Talents （2005KYCX017） and the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry. |
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| 摘 要： | 在研究人类免疫缺陷性病毒HIV和丙肝病毒C（HCV）中，数学模型起到了非常重要的作用．感染T细胞在人体内潜伏若干年后才转化为病毒，在这期间，感染T细胞的丢失不是简单的线性作用关系．本文报道了一类具有饱和丢失率的数学模型，得到了基本再生数R0,R0完令决定T细胞的全局动力学性质，即如果R0≤1．感染T细胞消失，如果R0〉1，感染变为慢性的，在可行区域内，惟一流行病平衡点是全局渐近稳定的．同时，还考虑了在饱和丢失感染T细胞下的药物的影响．
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| 关 键 词： | 免疫模型 基本再生数 全局稳定性 |
| 文章编号： | 1003-0972（2005）03-0262-06 |
| 收稿时间： | 2005-01-25 |
| 修稿时间： | 2005-01-25 |
Global dynamics of viral model with saturated loss of infected cellls |
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| SONG Xin-yu,CHA Xin-yue.Global dynamics of viral model with saturated loss of infected cellls[J].Journal of Xinyang Teachers College(Natural Science Edition),2005,18(3):262-267. |
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| Authors: | SONG Xin-yu CHA Xin-yue |
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| Abstract: | It is well-known that the mathematical models provise very important information for theresearch of human immunodeficiency uirus-type 1 and hepatitis C virus (HCV).The infected T cells can remain latent and harbor virus for several years before virus productin occurs.In this period ,the loss of infected T cell is not simple linear interaction .In this paper ,we consider the classcal mathematical model with saturated loss of infected cellls.Our analysis establishes that the global dynamics of T cells are completely determined by a basic reproduction number R0.If R0≤1,infected T cells always die out.If R0>1,the infection becomes chronic,and a unique endemic equilibrium is globally stable in the interior of the feasible region.We also consider the drug effectiveness under saturated loss of infected cells. |
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| Keywords: | immunological models basic reproduction number global stability |
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