While many epidemiological models were proposed to understand and handle COVID-19 pandemic, too little has been invested to understand human viral replication and the potential use of novel antivirals to tackle the infection. In this work, using a control theoretical approach, validated mathematical models of SARS-CoV-2 in humans are characterized. A complete analysis of the main dynamic characteristic is developed based on the reproduction number. The equilibrium regions of the system are fully characterized, and the stability of such regions is formally established. Mathematical analysis highlights critical conditions to decrease monotonically SARS-CoV-2 in the host, as such conditions are relevant to tailor future antiviral treatments. Simulation results show the aforementioned system characterization.

虽然提出了许多流行病学模型来理解和应对 COVID-19 大流行，但在了解人类病毒复制和新型抗病毒药物应对感染的潜在用途方面投入太少。在这项工作中，使用控制理论方法，对人类 SARS-CoV-2 的经过验证的数学模型进行了表征。基于再生数对主要动态特性进行完整的分析。系统的平衡区域被完全表征，并且这些区域的稳定性被正式建立。数学分析强调了在宿主体内单调减少 SARS-CoV-2 的关键条件，因为这些条件与定制未来的抗病毒治疗相关。仿真结果显示了上述系统特性。