| 一类具有非线性感染率的HBV传染病模型的全局性研究(英文) |
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| 引用本文： | 王霞,陈建启.一类具有非线性感染率的HBV传染病模型的全局性研究(英文)[J].信阳师范学院学报(自然科学版),2012(2):141-145. |
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| 作者姓名： | 王霞 陈建启 |
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| 作者单位： | 信阳师范学院数学与信息科学学院;固始慈济高级中学 |
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| 基金项目： | National Natural Science Foundation of China(11171284);National Science Foundation of the Education Department of Henan Province(2010B110021,2010GGJS-104);The Youth Science Foundation of Xinyang Normal University(20100070) |
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| 摘 要： | 研究了一类具有非线性感染率的HBV传染病模型.通过构造Lyapunov函数和第二复合矩阵,分别证明了当R0≤1时,系统的无病平衡点是全局稳定的;当R0>1时,系统的地方病平衡点是全局稳定的.
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| 关 键 词： | HBV传染病模型 非线性感染率 Lyapunov函数 第二复合矩阵 持续性 |
Global Dynamics of a kind of HBV Infection Model with Nonlinear Incidence Rate |
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| WANG Xia,CHEN Jian-qi.Global Dynamics of a kind of HBV Infection Model with Nonlinear Incidence Rate[J].Journal of Xinyang Teachers College(Natural Science Edition),2012(2):141-145. |
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| Authors: | WANG Xia CHEN Jian-qi |
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| Institution: | 1.College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China;2.Gushi Ciji High School,Gushi 465200,China) |
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| Abstract: | A kind of HBV infection model with nonlinear incidence rate was studied.By constructing Lyapunov function and using the second additive compound matrix,it was proved that the infection-free equilibrium of system is globally stable when R0≤1;and the endemic equilibrium of system is globally stable when R0>1. |
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| Keywords: | HBV infection model nonlinear incidence rate Lyapunov function second additive compound matrix persistence |
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