Autor(es): Vaz, Sandra ; Torres, Delfim F. M.
Data: 2021
Identificador Persistente: http://hdl.handle.net/10773/32683
Origem: RIA - Repositório Institucional da Universidade de Aveiro
Assunto(s): Mathematical modelling; Epidemiology; COVID-19 pandemic; Qualitative theory; Lyapunov functions; Numerical simulations with real data
Recently, a continuous-time compartmental mathematical model for the spread of the Coronavirus disease 2019 (COVID-19) was presented with Portugal as case study, from 2 March to 4 May 2020, and the local stability of the Disease Free Equilibrium (DFE) was 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.
