Abstract
The coronavirus disease 2019 (COVID-19) pandemic highlighted the importance of mathematical modeling in advising scientific bodies and informing public policy making. Modeling allows a flexible theoretical framework to be developed in which different scenarios around spread of diseases and strategies to prevent it can be explored. This work brings together perspectives on mathematical modeling of infectious diseases, highlights the different modeling frameworks that have been used for modeling COVID-19 and illustrates some of the models that our groups have developed and applied specifically for COVID-19. We discuss three models for COVID-19 spread: the modified Susceptible-Exposed-Infected-Recovered model that incorporates contact tracing (SEIR-TTI model) and describes the spread of COVID-19 among these population cohorts, the more detailed agent-based model called Covasim describing transmission between individuals, and the Rule-Based Model (RBM) which can be thought of as a combination of both. We showcase the key methodologies of these approaches, their differences as well as the ways in which they are interlinked. We illustrate their applicability to answer pertinent questions associated with the COVID-19 pandemic such as quantifying and forecasting the impacts of different test-trace-isolate (TTI) strategies.
| Original language | English |
|---|---|
| Title of host publication | Data Science |
| Subtitle of host publication | Theory and Applications |
| Editors | Arni S.R. Srinivasa Rao, C.R. Rao |
| Place of Publication | Amsterdam |
| Publisher | Elsevier B.V. |
| Pages | 291-326 |
| Number of pages | 36 |
| ISBN (Print) | 9780323852005 |
| DOIs | |
| Publication status | Published - 12 Feb 2021 |
Publication series
| Name | Handbook of Statistics |
|---|---|
| Volume | 44 |
| ISSN (Print) | 0169-7161 |
Funding
We thank all contributors to the development and application of the three models we discussed here. For the SEIR-TTI model we thank Simone Sturniolo, David Manheim and Tim Colbourn. For the Covasim model we thank a large team of collaborators: at the Institute for Disease Modeling, Daniel J. Klein, Dina Mistry, Brittany Hagedorn, Katherine Rosenfeld, Prashanth Selvaraj, Rafael Núñez, Gregory Hart, Carrie Bennette, Marita Zimmermann, Assaf Oron, Dennis Chao, Michael Famulare, and Lauren George; at GitHub, Michał Jastrzębski, Will Fitzgerald, Cory Gwin, Julian Nadeau, Hamel Husain, Rasmus Wriedt Larsen, Aditya Sharad, and Oege de Moor; at Microsoft, William Chen, Scott Ayers, and Rolf Harms; and at the Burnet Institute, Romesh Abeysuriya, Nick Scott, Anna Palmer, Dominic Delport, and Sherrie Kelly. For the RBM model, we thank Matteo Cavalieri and Vincent Danos.
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- agent-based models
- COVID-19
- epidemiological modeling
- rule-based models
- SEIR models
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