Global dynamics of an epidemiological model with acute and chronic HCV infections
Global dynamics of an epidemiological model with acute and chronic HCV infections
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急性和慢性 HCV 感染流行病学模型的全球动态
DOI：
10.1016/j.aml.2019.106203
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发表时间：
2020-05-01
影响因子：
3.7
通讯作者：
Chen, Tianmu
中科院分区：
文献类型：
--
作者：
Cui, Jing-An;Zhao, Shifang;Chen, Tianmu
本文提出了一个具有急、慢性传染的丙型肝炎流行病模型，并研究了该模型的全局动力学性质。它强调急性丙型肝炎患者可以自行消除病毒并进入恢复期，而慢性丙型肝炎患者不能自动消除病毒进入恢复期，因此相当数量的患者最终发展为肝硬化或肝细胞癌（HCC）。通过构造适当的李雅普诺夫函数，证明了当基本再生数R-0 < 1时，模型的无病平衡点是全局渐近稳定的;当R-0 > 1时，模型的无病平衡点是不稳定的，模型的地方病平衡点是全局渐近稳定的. (C)2020爱思唯尔有限公司版权所有。
In this paper, an epidemiological model of hepatitis C with acute and chronic infections is proposed, and then the global dynamics of this model is studied. It emphasizes that acute hepatitis C patients can eliminate the virus by themselves and step into the recovered class, while chronic hepatitis C patients can-not automatically eliminate the virus to enter into the recovered class, so a significant number of those patients eventually develop cirrhosis or hepatocellular carcinoma (HCC). By constructing appropriate Lyapunov functions, it shows that if the basic reproductive number R-0 < 1, the disease-free equilibrium of the model is globally asymptotically stable; if R-0 > 1, the disease-free equilibrium is unstable, and the endemic equilibrium of the model is globally asymptotically stable. (C) 2020 Elsevier Ltd. All rights reserved.