| 具有两种免疫来源的乙肝病毒模型的全局动力学 |
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| 引用本文： | 刘俊,王稳地,石超.具有两种免疫来源的乙肝病毒模型的全局动力学[J].西南农业大学学报,2010,32(1). |
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| 作者姓名： | 刘俊 王稳地 石超 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10871162) |
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| 摘 要： | 研究了免疫反应具有两种来源的乙肝病毒模型.通过对相应特征方程的分析,讨论了感染平衡态和未感染平衡态的局部稳定性,证明了基本再生数1时疾病的持续性.通过几何方法的应用,得到了感染平衡点全局稳定性的充分条件.
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| 关 键 词： | 免疫损害 全局稳定性 持续性 第二加性复合矩阵 |
Global Dynamics of an HBV Model with Two Immune Response Sources |
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| LIU Jun,WANG Wen-di,SHI Chao School of Mathematics , Statistics,Southwest University,Chongqing ,China.Global Dynamics of an HBV Model with Two Immune Response Sources[J].Journal of Southwest Agricultural University,2010,32(1). |
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| Authors: | LIU Jun WANG Wen-di SHI Chao School of Mathematics Statistics Southwest University Chongqing China |
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| Institution: | LIU Jun,WANG Wen-di,SHI Chao School of Mathematics , Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | In this paper,an HBV model with activated immune response of two sources is studied.By analyzing the corresponding characteristic equations,the local stability of an infected steady state and an uninfected steady state is discussed.It is proved that if the basic reproductive number is more than one,the disease is persistent.By applying a geometric method,sufficient conditions are obtained for the global stability of the endemic equilibrium. |
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| Keywords: | immune impairment global stability permanence second additive compound matrix |
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