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Advisor(s)
Abstract(s)
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.
Description
Keywords
Mathematical modelling Epidemiology COVID-19 pandemic Qualitative theory Lyapunov functions Numerical simulations with real data
Citation
Vaz, S.; Torres, D.F.M. A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal. Axioms 2021, 10, 314. https:// doi.org/10.3390/axioms10040314