Lan Yuqiong, Li Yanqiu, Zheng Dongmei
School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, 211816, China.
School of Science, Shanghai Institute of Technology, Shanghai, 201418, China.
J Math Biol. 2022 Aug 16;85(3):21. doi: 10.1007/s00285-022-01773-9.
In this paper, we focus on the global dynamics of a multiscale hepatitis C virus model. The model takes into account the evolution of the virus in cells and RNA. For the model, we establish the globally asymptotical stability of both infection-free and infected equilibria. We first give the basic reproduction number [Formula: see text] of the model, and then find that the system holds infected equilibrium when [Formula: see text]. Using eigenvalue analysis, Lyapunov functional, persistence theory and so on, it is proved that infection-free and infected equilibria are globally asymptotically stable when [Formula: see text] and [Formula: see text], respectively. Thus, extinction and persistence of viruses in cells are theoretically judged. Finally, we show our theoretical results by means of numerical simulation.
在本文中，我们关注一个多尺度丙型肝炎病毒模型的全局动力学。该模型考虑了病毒在细胞和RNA中的进化。对于该模型，我们建立了无感染平衡点和感染平衡点的全局渐近稳定性。我们首先给出模型的基本再生数[公式：见原文]，然后发现当[公式：见原文]时系统存在感染平衡点。利用特征值分析、李雅普诺夫泛函、持久性理论等，证明了当[公式：见原文]和[公式：见原文]时，无感染平衡点和感染平衡点分别是全局渐近稳定的。因此，从理论上判断了病毒在细胞中的灭绝和持续存在情况。最后，我们通过数值模拟展示了我们的理论结果。
