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

By Faical Ndairou, Iván Area, J. J. Nieto, Delfim F. M. Torres. Chaos, Solitons & Fractals, 2020

647 citations recorded by the source corpus.

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.

Subfields: Infectious Diseases, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/76571bd962b85fda8f5f4133fe90c2bc688d1809

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Kottakkaran Sooppy Nisar
2. Dumitru Băleanu
3. I. Cooper
4. Ilyas Khan
5. Chris G. Antonopoulos
6. Argha Mondal
7. Thabet Abdeljawad
8. Arran Fernandez

In Public Health, Environmental and Occupational Health

1. I. Cooper
2. Kottakkaran Sooppy Nisar
3. Chris G. Antonopoulos
4. Argha Mondal

Citations in the corpus

• A SIR model assumption for the spread of COVID-19 in different communities (2020, positive): “The susceptible-infected-removed (SIR) model and its extended modifications [22, 23, 24, 25], such as the extended-susceptible-infected-removed (eSIR) mathematical model in various forms have been used in previous studies [26, 27, 28] to model the spread of COVID-19 within communities.”
• Analysis and Dynamics of Fractional Order Mathematical Model of COVID-19 in Nigeria Using Atangana-Baleanu Operator (2021, background): “[9] proposed a model for the transmissibility of COVID-19 in the presence of super-spreaders individuals.”
• COVID-ABS: An agent-based model of COVID-19 epidemic to simulate health and economic effects of social distancing interventions (2020, positive): “Some authors added new states to refine the model, for instance, super-spreaders [32] or isolated [19, 14, 27, 26, 24, 23, 20, 18, 16, 13], hospitalized [19, 14, 27, 23, 20, 13], and asymptomatic infected [28, 23, 21, 20, 18].”