Insights into the dynamics and control of COVID-19 infection rates

Abstract This work aims to model, simulate and provide insights into the dynamics and control of COVID-19 infection rates. Using an established epidemiological model augmented with a time-varying disease transmission rate allows daily model calibration using COVID-19 case data from countries around the world. This hybrid model provides predictive forecasts of the cumulative number of infected cases. It also reveals the dynamics associated with disease suppression, demonstrating the time to reduce the effective, time-dependent, reproduction number. Model simulations provide insights into the outcomes of disease suppression measures and the predicted duration of the pandemic. Visualisation of reported data provides up-to-date condition monitoring, while daily model calibration allows for a continued and updated forecast of the current state of the pandemic.

[1]  Oscar Andrés Prado-Rubio,et al.  Hybrid Semiparametric Modeling: A Modular Process Systems Engineering Approach for the Integration of Available Knowledge Sources , 2019 .

[2]  J. Rocklöv,et al.  The reproductive number of COVID-19 is higher compared to SARS coronavirus , 2020, Journal of travel medicine.

[3]  C. Viboud,et al.  Mathematical models to characterize early epidemic growth: A review. , 2016, Physics of life reviews.

[4]  A L Lloyd,et al.  Realistic distributions of infectious periods in epidemic models: changing patterns of persistence and dynamics. , 2001, Theoretical population biology.

[5]  T. Hollingsworth,et al.  How will country-based mitigation measures influence the course of the COVID-19 epidemic? , 2020, The Lancet.

[6]  W. O. Kermack,et al.  Contributions to the mathematical theory of epidemics—II. The problem of endemicity , 1991, Bulletin of mathematical biology.

[7]  W. O. Kermack,et al.  Contributions to the Mathematical Theory of Epidemics. III. Further Studies of the Problem of Endemicity , 1933 .

[8]  Jaya Sreevalsan-Nair,et al.  ANALYSIS OF CLINICAL RECOVERY-PERIOD AND RECOVERY RATE ESTIMATION OF THE FIRST 1000 COVID-19 PATIENTS IN SINGAPORE , 2020, medRxiv.

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

[10]  Johannes Zierenberg,et al.  Inferring change points in the spread of COVID-19 reveals the effectiveness of interventions , 2020, Science.

[11]  W. O. Kermack,et al.  Contributions to the mathematical theory of epidemics—III. Further studies of the problem of endemicity , 1991 .

[12]  S. Eubank,et al.  Commentary on Ferguson, et al., “Impact of Non-pharmaceutical Interventions (NPIs) to Reduce COVID-19 Mortality and Healthcare Demand” , 2020, Bulletin of Mathematical Biology.

[13]  N. Steyn,et al.  Effect of Alert Level 4 on effective reproduction number: review of international COVID-19 cases , 2020, medRxiv.

[14]  C. Whittaker,et al.  Report 9: Impact of non-pharmaceutical interventions (NPIs) to reduce COVID19 mortality and healthcare demand , 2020 .

[15]  Shekhar Mishra,et al.  A deductive approach to modeling the spread of COVID-19 , 2020, medRxiv.