Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan

We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability of the disease free equilibrium in terms of the basic repro...

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Veröffentlicht in:	Chaos, solitons and fractals solitons and fractals, 2020-06, Vol.135, p.109846-109846, Article 109846
Hauptverfasser:	Ndaïrou, Faïçal, Area, Iván, Nieto, Juan J., Torres, Delfim F.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Basic reproduction number Mathematical modeling of COVID-19 pandemic Numerical simulations Sensitivity analysis Stability Wuhan case study
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability of the disease free equilibrium in terms of the basic reproduction number, and we investigate the sensitivity of the model with respect to the variation of each one of its parameters. Numerical simulations show the suitability of the proposed COVID-19 model for the outbreak that occurred in Wuhan, China.
ISSN:	0960-0779 1873-2887 0960-0779
DOI:	10.1016/j.chaos.2020.109846