免疫系统
基本再生数
病毒
丙型肝炎病毒
繁殖
传输(电信)
数学
病毒学
理论(学习稳定性)
李雅普诺夫函数
获得性免疫系统
生物
免疫学
医学
计算机科学
遗传学
物理
人口
非线性系统
机器学习
环境卫生
电信
量子力学
作者
Xia Wang,Xiangdong Meng,Rong Liang
标识
DOI:10.1016/j.aml.2023.108904
摘要
Hepatitis C virus (HCV) can establish infection via two distinct modes: virus-to-cell infection and cell-to-cell transmission. These infections prompt the activation of two types of adaptive immune responses: the cytotoxic T lymphocyte response and the antibody response. In this paper, we study HCV dynamics by developing a multiscale model that incorporates both modes of infection as well as the two types of immune responses. We derive both the basic reproduction number of virus and four immune reproduction numbers for the model. We identify five equilibria, the existence of which depends on the values of basic reproduction number of virus and the immune reproduction numbers. We also establish the global asymptotic stability of the equilibria by employing Lyapunov functions, which further underscores the profound impact of the aforementioned reproduction numbers on the model’s overall stability.
科研通智能强力驱动
Strongly Powered by AbleSci AI