Modelling COVID-19 in The Netherlands

Modelling COVID-19 in The Netherlands

Tsang, Daniel (TU Delft Electrical Engineering, Mathematics and Computer Science)

Meulenbroek, B.J. (mentor)
Dubbeldam, J.L.A. (graduation committee)
Kurowicka, D. (graduation committee)

Delft University of Technology

Applied Mathematics

2021-09-21

In this thesis, we present a study to obtain a clear and accurate overview of the progress and behaviour of COVID-19 in the Netherlands. We distinguish two parts for this study. The first part is to estimate the total number of infected people as a function of time by combining data from hospital admissions, daily reported cases and serological data. Using these data sets, we found that our estimation for the number of infected people was comparable to the estimations provided by the RIVM and Sanquin. Furthermore, we found that on average only 39.3% of the total number of cases were detected. 1.2% of the total number of infected people is admitted to the hospital and 18.6% of the hospitalized patients is admitted to the ICU. The second part is to develop a representative model that reproduces the estimated total number of infections using a modified SEIR model. These modifications include modelling the infection rate β(t) as a function of time using a simple linear ODE, a system of ODEs inspired by the Lotka-Volterra equations, the implementation of gamma distributed exposed and infected stages and lastly the incorporation of spatial heterogeneity. We found that our Lotka-Volterra inspired model was able to model multiple consecutive waves, which differs from the standard compartmental models. The other modifications however seemed to have only minor effects on the model and had some difficulties with matching historical data. We conclude that our Lotka-Volterra inspired model should be used to model consecutive waves for a longer period of time. The other modifications can be used to optimize the model.

COVID-19
SEIR model
Lotka-Volterra model
gamma distribution
infectious time period
incubation time period
spatial heterogeneity
number of infected people

http://resolver.tudelft.nl/uuid:e87a6069-53a3-4eb7-b03d-32bc86deb929

Student theses

master thesis

© 2021 Daniel Tsang