In [Ecological Complexity 44 (2020) Art. 100885, DOI: 10.1016/j.ecocom.2020.100885] a continuous-time compartmental mathematical model for the spread of the Coronavirus disease 2019 (COVID-19) is presented with Portugal as case study, from 2 March to 4 May 2020, and the local stability of the Disease Free Equilibrium (DFE) is analysed. Here, we propose an analogous discrete-time model and, using a suitable Lyapunov function, we prove the global stability of the DFE point. Using COVID-19 real data, we show, through numerical simulations, the consistence of the obtained theoretical results.
翻译：在[生态复杂性44(2020年)第100885条,DOI:10.1016/j.ecocom.2020.100885]中,葡萄牙从2020年3月2日至5月4日作为案例研究向葡萄牙介绍了2019年科罗纳病毒疾病(COVID-19)传播的连续时间分包数学模型,分析了无线疾病(DFE)的当地稳定性。在这里,我们提出了一个类似的离散时间模型,并利用适当的Lyapunov功能,我们证明了DFE点的全球稳定性。我们利用COVID-19真实数据,通过数字模拟,显示了获得的理论结果的构成。
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