摘要: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 R ₀，并且得出了系统的两个平衡点：无病平衡点 E ₀和地方病平衡点 E ₁。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 R ₀< 1 时，E ₀局部渐近稳定；更进一步可证存在一个常数 R ₁。 当 R ₁< 1 时，E ₀全局渐近稳定；当 R ₀> 1 时，E ₁局部渐近稳定。最后，通过数值模拟验证了所得结论。

Abstract:In this paper, we formulate a dynamic model for COVID-19 therapy with the constsnt injection of ACE2. First, the basic reproduction number R ₀is given. We get two possible biologically meaningful equilibria: disease-free equilibrium E ₀and infection equilibrium E ₁. When R ₀< 1, disease-free equilibrium E0 is locally asymptotically stable; further, we can prove that there exists an R ₁, when R ₁< 1, disease-free equilibriumE ₀is globally asymptotically stable; when R ₀> 1, E ₁is locally asymptotically stable. Finally, numerical simulation is also presented to demonstrate the applicability of the theoretical predictions.