Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/32683
Title: | A discrete-time compartmental epidemiological model for COVID-19 with a case study for Portugal |
Author: | Vaz, Sandra Torres, Delfim F. M. |
Keywords: | Mathematical modelling Epidemiology COVID-19 pandemic Qualitative theory Lyapunov functions Numerical simulations with real data |
Issue Date: | Dec-2021 |
Publisher: | MDPI |
Abstract: | 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/32683 |
DOI: | 10.3390/axioms10040314 |
Publisher Version: | https://www.mdpi.com/2075-1680/10/4/314 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[497]axioms-Vaz-Torres-covid-19.pdf | 992.15 kB | Adobe PDF | View/Open |
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