人工抗体治疗 COVID-19 的病毒动力学模型

A Virus Dynamica Model for COVID-19Therapy with Artificial Antibody

在本文中,我们建立了常量注射 ACE2 受体药物治疗 COVID-19 的动力学模型。首先,我们在生物学意义下定义了基本再生数 R0,并且得出了系统的两个平衡点:无病平衡点 E0 和地方病平衡点 E1。其次,利用 Lyapunov 函数和 Routh-Hurwitz 判据证明了无病平衡点和地方病平衡点的存在性和稳定性条件,即当 R0 0 局部渐近稳定;更进一步可证存在一个常数 R1。 当 R1 0 全局渐近稳定;当 R0 】1 时,E1 局部渐近稳定。最后,通过数值模拟验证了所得结论。

In this paper, we formulate a dynamic model for COVID-19 therapy with the constsnt injection of ACE2. First, the basic reproduction number R0 is given. We get two possible biologically meaningful equilibria: disease-free equilibrium E0 and infection equilibrium E1 . When R0 1, when R1 disease-free equilibrium E0 is globally asymptotically stable;when R0 >1, E1 is locally asymptotically stable. Finally, numerical simulation is also presented to demonstrate the applicability of the theoretical predictions.