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Kergaßner A, Burkhardt C, Lippold D, Kergaßner M, Pflug L, Budday D, Steinmann P, Budday S. Memory-based meso-scale modeling of Covid-19: County-resolved timelines in Germany. COMPUTATIONAL MECHANICS 2020; 66:1069-1079. [PMID: 32836600 PMCID: PMC7398641 DOI: 10.1007/s00466-020-01883-5] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/07/2020] [Accepted: 07/09/2020] [Indexed: 05/29/2023]
Abstract
The COVID-19 pandemic has led to an unprecedented world-wide effort to gather data, model, and understand the viral spread. Entire societies and economies are desperate to recover and get back to normality. However, to this end accurate models are of essence that capture both the viral spread and the courses of disease in space and time at reasonable resolution. Here, we combine a spatially resolved county-level infection model for Germany with a memory-based integro-differential approach capable of directly including medical data on the course of disease, which is not possible when using traditional SIR-type models. We calibrate our model with data on cumulative detected infections and deaths from the Robert-Koch Institute and demonstrate how the model can be used to obtain county- or even city-level estimates on the number of new infections, hospitality rates and demands on intensive care units. We believe that the present work may help guide decision makers to locally fine-tune their expedient response to potential new outbreaks in the near future.
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Affiliation(s)
- Andreas Kergaßner
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Christian Burkhardt
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Dorothee Lippold
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Matthias Kergaßner
- Department of Computer Science, Hardware-Software-Co-Design, Friedrich-Alexander-University Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - Lukas Pflug
- Department of Mathematics, Chair of Applied Mathematics (Continuous Optimization), Friedrich-Alexander-University Erlangen-Nürnberg, 91058 Erlangen, Germany
- Central Institute for Scientic Computing (ZISC), Friedrich-Alexander-University Erlangen-Nürnberg, Martensstrasse 5a, 91058 Erlangen, Germany
| | - Dominik Budday
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Paul Steinmann
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Silvia Budday
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
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Kergaßner A, Burkhardt C, Lippold D, Kergaßner M, Pflug L, Budday D, Steinmann P, Budday S. Memory-based meso-scale modeling of Covid-19: County-resolved timelines in Germany. COMPUTATIONAL MECHANICS 2020. [PMID: 32836600 DOI: 10.1101/2020.06.10.20126771] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/09/2023]
Abstract
The COVID-19 pandemic has led to an unprecedented world-wide effort to gather data, model, and understand the viral spread. Entire societies and economies are desperate to recover and get back to normality. However, to this end accurate models are of essence that capture both the viral spread and the courses of disease in space and time at reasonable resolution. Here, we combine a spatially resolved county-level infection model for Germany with a memory-based integro-differential approach capable of directly including medical data on the course of disease, which is not possible when using traditional SIR-type models. We calibrate our model with data on cumulative detected infections and deaths from the Robert-Koch Institute and demonstrate how the model can be used to obtain county- or even city-level estimates on the number of new infections, hospitality rates and demands on intensive care units. We believe that the present work may help guide decision makers to locally fine-tune their expedient response to potential new outbreaks in the near future.
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Affiliation(s)
- Andreas Kergaßner
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Christian Burkhardt
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Dorothee Lippold
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Matthias Kergaßner
- Department of Computer Science, Hardware-Software-Co-Design, Friedrich-Alexander-University Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - Lukas Pflug
- Department of Mathematics, Chair of Applied Mathematics (Continuous Optimization), Friedrich-Alexander-University Erlangen-Nürnberg, 91058 Erlangen, Germany
- Central Institute for Scientic Computing (ZISC), Friedrich-Alexander-University Erlangen-Nürnberg, Martensstrasse 5a, 91058 Erlangen, Germany
| | - Dominik Budday
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Paul Steinmann
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
| | - Silvia Budday
- Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander-University Erlangen Nürnberg, 91058 Erlangen, Germany
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