In this paper, we propose a fractional reaction-diffusion model in order to better understand the mechanisms and dynamics of hepatitis B virus (HBV) infection in human body. The infection transmission is modeled by Hattaf–Yousfi functional response, and the fractional derivative is in the sense of Caputo. The global stability of the model equilibria is analyzed by means of Lyapunov functionals. Finally, numerical simulations are presented to support our analytical results.

中文翻译：

---

感染细胞治愈的分数反应扩散HBV模型分析

在本文中，我们提出了分数反应扩散模型，以便更好地了解人体中乙型肝炎病毒（HBV）感染的机制和动力学。感染的传播是由Hattaf–Yousfi功能反应模拟的，分数导数是Caputo的意义。模型平衡的全局稳定性是通过Lyapunov函数进行分析的。最后，提出了数值模拟以支持我们的分析结果。