| 伪狂犬病模型的全局稳定性分析 |
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| 引用本文： | 刘文娟,刘俊利.伪狂犬病模型的全局稳定性分析[J].纺织高校基础科学学报,2017,30(2). |
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| 作者姓名： | 刘文娟 刘俊利 |
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| 作者单位： | 西安工程大学 理学院,陕西 西安,710048 |
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| 基金项目： | 国家自然科学基金资助项目，中央高校教育教学改革专项经费资助项目，陕西省教育厅专项科研计划项目 |
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| 摘 要： | 建立一类伪狂犬病模型并研究其动力学行为,寻求决定疾病绝灭与否的基本再生数.当基本再生数小于1时,模型仅有唯一的无病平衡点,利用线性化方法和Liapunov函数方法,讨论无病平衡点的全局渐近稳定性.当基本再生数大于1时,无病平衡点不稳定,模型还存在唯一的正平衡点,模型是一致持久的,通过线性化方法和几何方法证明了正平衡点的全局渐近稳定性.
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| 关 键 词： | 伪狂犬病 基本再生数 全局稳定性 Liapunov函数 |
Global stability analysis of a pseudorabies virus model |
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| LIU Wenjuan,LIU Junli.Global stability analysis of a pseudorabies virus model[J].Basic Sciences Journal of Textile Universities,2017,30(2). |
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| Authors: | LIU Wenjuan LIU Junli |
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| Abstract: | A pseudorabies virus model is established,and its dynamics is studied to obtain the basic reproduction number which determines the extinction and persistence of the disease.When the basic reproduction number is less than unity, there is only the disease-free equilibrium, by the linearization and Liapunov function methods, the global stability of the disease-free equilibrium is discussed.When the basic reproduction number is greater than unity, the disease-free equilibrium is unstable, there is also one unique positive equilibrium.The global stability of the positive equilibrium is proved by linearization and geometric methods. |
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| Keywords: | pseudorabies virus basic reproduction number global stability Liapunov function |
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