Elkaranshawy Hesham A, Ezzat Hossam M, Ibrahim Nermeen N
Annu Int Conf IEEE Eng Med Biol Soc. 2020 Jul;2020:2451-2454. doi: 10.1109/EMBC44109.2020.9176525.
A mathematically identical ordinary differential equations (ODEs) model was derived from a multiscale partial differential equations (PDEs) model of hepatitis c virus infection, which helps to overcome the limitations of the PDE model in clinical data analysis. We have discussed about basic properties of the system and found the basic reproduction number of the system. A condition for the local stability of the uninfected and the infected steady states is presented. The local stability analysis of the model shows that the system is asymptotically stable at the disease-free equilibrium point when the basic reproduction number is less than one. When the basic reproduction number is greater than one endemic equilibrium point exists, and the local stability analysis proves that this point is asymptotically stable. Numerical sensitivity analysis based on model parameters is performed and therefore the result describes the influence of each parameter on the basic reproduction number.
一个数学上等价的常微分方程（ODEs）模型是从丙型肝炎病毒感染的多尺度偏微分方程（PDEs）模型推导而来的，这有助于克服PDE模型在临床数据分析中的局限性。我们讨论了该系统的基本性质并找到了系统的基本再生数。给出了未感染和感染稳态局部稳定性的条件。模型的局部稳定性分析表明，当基本再生数小于1时，系统在无病平衡点处渐近稳定。当基本再生数大于1时，存在地方病平衡点，局部稳定性分析证明该点是渐近稳定的。基于模型参数进行了数值敏感性分析，结果描述了每个参数对基本再生数的影响。
