A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal

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.
This is a preprint of a paper whose final and definite form is published Open Access in 'Axioms', available in [https://doi.org/10.3390/axioms10040314]. Please cite this article as: S. Vaz and D. F. M. Torres, A discrete-time compartmental epidemiological model for COVID-19 with a case study for Portugal, Axioms 10 (2021), no. 4, Art. 314, 14 pp