Meso-scale modeling of COVID-19 spatio-temporal outbreak dynamics in Germany

The COVID-19 pandemic has kept the world in suspense for the past months. In most federal countries such as Germany, locally varying conditions demand for state- or county-level decisions. However, this requires a deep understanding of the meso-scale outbreak dynamics between micro-scale agent models and macro-scale global models. Here, we introduce a reparameterized SIQRD network model that accounts for local political decisions to predict the spatio-temporal evolution of the pandemic in Germany at county and city resolution. Our optimized model reproduces state-wise cumulative infections and deaths as reported by the Robert-Koch Institute, and predicts development for individual counties at convincing accuracy. We demonstrate the dominating effect of local infection seeds, and identify effective measures to attenuate the rapid spread. Our model has great potential to support decision makers on a state and community politics level to individually strategize their best way forward.

[1]  Aravind Srinivasan,et al.  Modelling disease outbreaks in realistic urban social networks , 2004, Nature.

[2]  Yan Bai,et al.  Presumed Asymptomatic Carrier Transmission of COVID-19. , 2020, JAMA.

[3]  Alessandro Vespignani,et al.  Prediction and predictability of global epidemics: the role of the airline transportation network , 2005, q-bio/0507029.

[4]  Data Driven Analysis , 2020, Definitions.

[5]  M. Peirlinck,et al.  Outbreak dynamics of COVID-19 in China and the United States , 2020, Biomechanics and Modeling in Mechanobiology.

[6]  M. Baguelin,et al.  Report 4: Severity of 2019-novel coronavirus (nCoV) , 2020 .

[7]  Alyson A. van Raalte,et al.  Monitoring trends and differences in COVID-19 case-fatality rates using decomposition methods: Contributions of age structure and age-specific fatality , 2020, medRxiv.

[8]  Alessandro Vespignani,et al.  Multiscale mobility networks and the spatial spreading of infectious diseases , 2009, Proceedings of the National Academy of Sciences.

[9]  Tim Riffe,et al.  Monitoring trends and differences in COVID-19 case fatality rates using decomposition methods: Contributions of age structure and age-specific fatality , 2020, medRxiv.

[10]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[11]  HighWire Press Proceedings of the Royal Society of London. Series A, Containing papers of a mathematical and physical character , 1934 .

[12]  Rolf Wanka,et al.  Particle swarm optimization almost surely finds local optima , 2013, GECCO '13.

[13]  D. Brockmann,et al.  Effective containment explains subexponential growth in recent confirmed COVID-19 cases in China , 2020, Science.

[14]  Minghui Li,et al.  Monitoring transmissibility and mortality of COVID-19 in Europe , 2020, International Journal of Infectious Diseases.

[15]  Alessandro Vespignani,et al.  Modeling the spatial spread of infectious diseases: The GLobal Epidemic and Mobility computational model , 2010, J. Comput. Sci..

[16]  Dennis Andersson,et al.  A retrospective cohort study , 2018 .

[17]  J. Xiang,et al.  Clinical course and risk factors for mortality of adult inpatients with COVID-19 in Wuhan, China: a retrospective cohort study , 2020, The Lancet.

[18]  M. Peirlinck,et al.  Outbreak dynamics of COVID-19 in Europe and the effect of travel restrictions , 2020, medRxiv.

[19]  Xueying Wang,et al.  Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model. , 2016, Mathematical biosciences and engineering : MBE.

[20]  Yang Liu,et al.  Early dynamics of transmission and control of COVID-19: a mathematical modelling study , 2020, The Lancet Infectious Diseases.

[21]  Hongzhou Lu,et al.  Outbreak of pneumonia of unknown etiology in Wuhan, China: The mystery and the miracle , 2020, Journal of medical virology.

[22]  Peter Bazan,et al.  Modeling Exit Strategies from COVID-19 Lockdown with a Focus on Antibody Tests , 2020, medRxiv.

[23]  Piet Van Mieghem,et al.  Epidemic processes in complex networks , 2014, ArXiv.

[24]  Herbert W. Hethcote,et al.  The Mathematics of Infectious Diseases , 2000, SIAM Rev..

[25]  M. Peirlinck,et al.  The reproduction number of COVID-19 and its correlation with public health interventions , 2020, Computational Mechanics.

[26]  Matthias an der Heiden,et al.  Modellierung von Beispielszenarien der SARS-CoV-2-Epidemie 2020 in Deutschland , 2020 .

[27]  Ruiyun Li,et al.  Substantial undocumented infection facilitates the rapid dissemination of novel coronavirus (SARS-CoV-2) , 2020, Science.

[28]  Rolf Wanka,et al.  Particle swarm optimization almost surely finds local optima , 2013, GECCO '13.

[29]  Yaqing Fang,et al.  Transmission dynamics of the COVID‐19 outbreak and effectiveness of government interventions: A data‐driven analysis , 2020, Journal of medical virology.

[30]  Jessica T Davis,et al.  The effect of travel restrictions on the spread of the 2019 novel coronavirus (COVID-19) outbreak , 2020, Science.

[31]  Piet Van Mieghem,et al.  Network-based prediction of the 2019-nCoV epidemic outbreak in the Chinese province Hubei , 2020 .

[32]  Pavel Dedera,et al.  Mathematical Modelling of Study , 2011 .

[33]  M. Wang,et al.  Epidemiological parameters of coronavirus disease 2019: a pooled analysis of publicly reported individual data of 1155 cases from seven countries , 2020, medRxiv.

[34]  H. Hethcote,et al.  Effects of quarantine in six endemic models for infectious diseases. , 2002, Mathematical biosciences.

[35]  M. Nöthen,et al.  Infection fatality rate of SARS-CoV-2 infection in a German community with a super-spreading event , 2020 .