Data-Driven Methods to Monitor, Model, Forecast and Control Covid-19 Pandemic: Leveraging Data Science, Epidemiology and Control Theory

This document analyzes the role of data-driven methodologies in Covid-19 pandemic. We provide a SWOT analysis and a roadmap that goes from the access to data sources to the final decision-making step. We aim to review the available methodologies while anticipating the difficulties and challenges in the development of data-driven strategies to combat the Covid-19 pandemic. A 3M-analysis is presented: Monitoring, Modelling and Making decisions. The focus is on the potential of well-known datadriven schemes to address different challenges raised by the pandemic: i) monitoring and forecasting the spread of the epidemic; (ii) assessing the effectiveness of government decisions; (iii) making timely decisions. Each step of the roadmap is detailed through a review of consolidated theoretical results and their potential application in the Covid-19 context. When possible, we provide examples of their applications on past or present epidemics. We do not provide an exhaustive enumeration of methodologies, algorithms and applications. We do try to serve as a bridge between different disciplines required to provide a holistic approach to the epidemic: data science, epidemiology, controltheory, etc. That is, we highlight effective data-driven methodologies that have been shown to be successful in other contexts and that have potential application in the different steps of the proposed roadmap. To make this document more functional and adapted to the specifics of each discipline, we encourage researchers and practitioners to provide feedback. We will update this document regularly.

[1]  L. Yang,et al.  Preliminary estimation of the basic reproduction number of novel coronavirus (2019-nCoV) in China, from 2019 to 2020: A data-driven analysis in the early phase of the outbreak , 2020, International Journal of Infectious Diseases.

[2]  R. Vidal Dynamic optimization: The calculus of variations and optimal control in economics and management: Morton I. KAMIEN and Nancy L. SCHWARTZ Volume 4 in: Dynamic Economics: Theory and Applications, North-Holland, New York, 1981, xi + 331 pages, Dfl.90.00 , 1982 .

[3]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[5]  Asif Iqbal Khan,et al.  CoroNet: A deep neural network for detection and diagnosis of COVID-19 from chest x-ray images , 2020, Computer Methods and Programs in Biomedicine.

[6]  Timothy Verstraeten,et al.  Bayesian Anytime m-top Exploration , 2019, 2019 IEEE 31st International Conference on Tools with Artificial Intelligence (ICTAI).

[7]  T. Rhodes,et al.  A model society: maths, models and expertise in viral outbreaks , 2020, Critical Public Health.

[8]  P. Sopp Cluster analysis. , 1996, Veterinary immunology and immunopathology.

[9]  Michael Y. Li,et al.  Why is it difficult to accurately predict the COVID-19 epidemic? , 2020, Infectious Disease Modelling.

[10]  Maria Seale,et al.  Examining the effect of social distancing on the compound growth rate of COVID-19 at the county level (United States) using statistical analyses and a random forest machine learning model , 2020, Public Health.

[11]  William B. Lober,et al.  Infectious Disease Informatics and Biosurveillance , 2012 .

[12]  N. Kandel,et al.  Health security capacities in the context of COVID-19 outbreak: an analysis of International Health Regulations annual report data from 182 countries , 2020, The Lancet.

[13]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[14]  Marko Bacic,et al.  Model predictive control , 2003 .

[15]  Nilanjan Dey,et al.  Forecasting Models for Coronavirus Disease (COVID-19): A Survey of the State-of-the-Art , 2020, SN Computer Science.

[16]  C. Fraser,et al.  A New Framework and Software to Estimate Time-Varying Reproduction Numbers During Epidemics , 2013, American journal of epidemiology.

[17]  Y. Liao,et al.  COVID-19: Challenges to GIS with Big Data , 2020, Geography and Sustainability.

[18]  Günther Pernul,et al.  Trust and Big Data: A Roadmap for Research , 2014, 2014 25th International Workshop on Database and Expert Systems Applications.

[19]  Maria Antònia Barceló,et al.  Effectiveness of the measures to flatten the epidemic curve of COVID-19. The case of Spain , 2020, Science of The Total Environment.

[20]  Frank Allgöwer,et al.  Robust and optimal predictive control of the COVID-19 outbreak☆ , 2020, Annual Reviews in Control.

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

[22]  Manish Sharma,et al.  Mathematical Models on Epidemiology , 2015 .

[23]  M. Kraemer,et al.  Preparedness and vulnerability of African countries against importations of COVID-19: a modelling study , 2020, The Lancet.

[24]  Peter Trebuna,et al.  The importance of normalization and standardization in the process of clustering , 2014, 2014 IEEE 12th International Symposium on Applied Machine Intelligence and Informatics (SAMI).

[25]  Dimas Abreu Archanjo Dutra Uncertainty estimation in equality-constrained MAP and maximum likelihood estimation with applications to system identification and state estimation , 2020, Autom..

[26]  Rudi van Drunen,et al.  Localization of Random Pulse Point Sources Using Physically Implementable Search Algorithms , 2020, Optoelectronics, Instrumentation and Data Processing.

[27]  Andy Liaw,et al.  Classification and Regression by randomForest , 2007 .

[28]  Sandro Galea,et al.  Social network analysis and agent-based modeling in social epidemiology , 2012, Epidemiologic perspectives & innovations : EP+I.

[29]  Jukka Corander,et al.  On the Identifiability of Transmission Dynamic Models for Infectious Diseases , 2015, Genetics.

[30]  Qiang Sun,et al.  Prediction of Number of Cases of 2019 Novel Coronavirus (COVID-19) Using Social Media Search Index , 2020, International journal of environmental research and public health.

[31]  J. Woods,et al.  Probability and Random Processes with Applications to Signal Processing , 2001 .

[32]  George J. Pappas,et al.  Optimal Resource Allocation for Control of Networked Epidemic Models , 2017, IEEE Transactions on Control of Network Systems.

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

[34]  Julien Beauté,et al.  Influenza surveillance in Europe: comparing intensity levels calculated using the moving epidemic method , 2015, Influenza and other respiratory viruses.

[35]  Jingmin Xin,et al.  Predicting COVID-19 in China Using Hybrid AI Model , 2020, IEEE Transactions on Cybernetics.

[36]  Tao Wang,et al.  Characterizing the Propagation of Situational Information in Social Media During COVID-19 Epidemic: A Case Study on Weibo , 2020, IEEE Transactions on Computational Social Systems.

[37]  George Athanasopoulos,et al.  Forecasting: principles and practice , 2013 .

[38]  Chandini Raina MacIntyre,et al.  Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel Coronavirus , 2020, Mathematical Biosciences.

[39]  Margaret L Brandeau,et al.  Dynamic resource allocation for epidemic control in multiple populations. , 2002, IMA journal of mathematics applied in medicine and biology.

[40]  John R. Koza,et al.  Genetic programming as a means for programming computers by natural selection , 1994 .

[41]  J. Hyman,et al.  Real-time forecasts of the 2019-nCoV epidemic in China from February 5th to February 24th, 2020 , 2020, 2002.05069.

[42]  Stéphanie Portet,et al.  A primer on model selection using the Akaike Information Criterion , 2020, Infectious Disease Modelling.

[43]  Yong Han Kang,et al.  Stability analysis and optimal vaccination of an SIR epidemic model , 2008, Biosyst..

[44]  Eduardo José da S. Luz,et al.  Towards an Efficient Deep Learning Model for COVID-19 Patterns Detection in X-ray Images , 2020 .

[45]  N. Crokidakis Modeling the early evolution of the COVID-19 in Brazil: Results from a Susceptible–Infectious–Quarantined–Recovered (SIQR) model , 2020, International Journal of Modern Physics C.

[46]  Leandro dos Santos Coelho,et al.  Short-term forecasting COVID-19 cumulative confirmed cases: Perspectives for Brazil , 2020, Chaos, Solitons & Fractals.

[47]  P. Whittle THE OUTCOME OF A STOCHASTIC EPIDEMIC—A NOTE ON BAILEY'S PAPER , 1955 .

[48]  N G Becker,et al.  On a general stochastic epidemic model. , 1977, Theoretical population biology.

[49]  Michael Li,et al.  Reconciling early-outbreak estimates of the basic reproductive number and its uncertainty: framework and applications to the novel coronavirus (SARS-CoV-2) outbreak , 2020, Journal of the Royal Society Interface.

[50]  Adam Mahdi,et al.  Sensitivity analysis methods in the biomedical sciences. , 2020, Mathematical biosciences.

[51]  Mohammad A. Safi,et al.  Qualitative analysis of an age-structured SEIR epidemic model with treatment , 2013, Appl. Math. Comput..

[52]  L. Meyers,et al.  When individual behaviour matters: homogeneous and network models in epidemiology , 2007, Journal of The Royal Society Interface.

[53]  Gerardo Chowell,et al.  Synthesizing data and models for the spread of MERS-CoV, 2013: Key role of index cases and hospital transmission , 2014, Epidemics.

[54]  D. Helbing,et al.  The Hidden Geometry of Complex, Network-Driven Contagion Phenomena , 2013, Science.

[55]  L. Biegler,et al.  Data reconciliation and gross‐error detection for dynamic systems , 1996 .

[56]  Paul H. Garthwaite,et al.  Statistical methods for the prospective detection of infectious disease outbreaks: a review , 2012 .

[57]  A. Ahmar,et al.  SutteARIMA: Short-term forecasting method, a case: Covid-19 and stock market in Spain , 2020, Science of The Total Environment.

[58]  C. Fraser,et al.  Transmission Dynamics of the Etiological Agent of SARS in Hong Kong: Impact of Public Health Interventions , 2003, Science.

[59]  Lorenzo Lampariello,et al.  Effectively managing diagnostic tests to monitor the COVID-19 outbreak in Italy , 2021, Operations Research for Health Care.

[60]  Matthew Mohebbi,et al.  Assessing Google Flu Trends Performance in the United States during the 2009 Influenza Virus A (H1N1) Pandemic , 2011, PloS one.

[61]  I. Kiss,et al.  Infectious disease control using contact tracing in random and scale-free networks , 2006, Journal of The Royal Society Interface.

[62]  Alimuddin Zumla,et al.  Passengers' destinations from China: low risk of Novel Coronavirus (2019-nCoV) transmission into Africa and South America , 2020, Epidemiology and Infection.

[63]  Thomas B. Schön,et al.  System identification of nonlinear state-space models , 2011, Autom..

[64]  Caterina Scoglio,et al.  Mitigation of epidemics in contact networks through optimal contact adaptation. , 2013, Mathematical biosciences and engineering : MBE.

[65]  Padhraic Smyth,et al.  Towards scalable support vector machines using squashing , 2000, KDD '00.

[66]  Olivier Gossner,et al.  Group testing against Covid-19 , 2020 .

[67]  Marco De Nadai,et al.  Mobile phone data for informing public health actions across the COVID-19 pandemic life cycle , 2020, Science Advances.

[68]  Qiang Zhang,et al.  Classification of ECG signals based on 1D convolution neural network , 2017, 2017 IEEE 19th International Conference on e-Health Networking, Applications and Services (Healthcom).

[69]  Michael S. Warren,et al.  Mobility Changes in Response to COVID-19 , 2020, ArXiv.

[70]  S. Engle,et al.  Staying at Home: Mobility Effects of COVID-19 , 2020, SSRN Electronic Journal.

[71]  Jong Chul Ye,et al.  Deep Learning COVID-19 Features on CXR Using Limited Training Data Sets , 2020, IEEE Transactions on Medical Imaging.

[72]  N. Cressie,et al.  Spatial Statistical Data Fusion for Remote Sensing Applications , 2012 .

[73]  S. Hegde,et al.  The important role of serology for COVID-19 control , 2020, The Lancet Infectious Diseases.

[74]  Aboul Ella Hassanien,et al.  COVID-19 forecasting based on an improved interior search algorithm and multi-layer feed forward neural network , 2020, Studies in Computational Intelligence.

[75]  Yurii Nesterov,et al.  Lectures on Convex Optimization , 2018 .

[76]  Marta Giovanetti,et al.  Application of the ARIMA model on the COVID-2019 epidemic dataset , 2020, Data in Brief.

[77]  P. Klepac,et al.  Feasibility of controlling COVID-19 outbreaks by isolation of cases and contacts , 2020, The Lancet Global Health.

[78]  Steven Riley,et al.  Epidemic Models of Contact Tracing: Systematic Review of Transmission Studies of Severe Acute Respiratory Syndrome and Middle East Respiratory Syndrome , 2019, Computational and Structural Biotechnology Journal.

[79]  R. A. Conde-Gutiérrez,et al.  Modeling and prediction of COVID-19 in Mexico applying mathematical and computational models , 2020, Chaos, Solitons & Fractals.

[80]  Guigang Zhang,et al.  Deep Learning , 2016, Int. J. Semantic Comput..

[81]  Yuyi Wang,et al.  Unique epidemiological and clinical features of the emerging 2019 novel coronavirus pneumonia (COVID‐19) implicate special control measures , 2020, Journal of medical virology.

[82]  José Manuel Benítez,et al.  On the use of cross-validation for time series predictor evaluation , 2012, Inf. Sci..

[83]  David R. Anderson,et al.  AIC model selection and multimodel inference in behavioral ecology: some background, observations, and comparisons , 2011, Behavioral Ecology and Sociobiology.

[84]  Colin N. Jones,et al.  Data-driven methods for building control — A review and promising future directions , 2020 .

[85]  P. Zezza,et al.  Sufficient conditions in optimal control , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[86]  Artur Dubrawski,et al.  Detection of Events In Multiple Streams of Surveillance Data , 2011 .

[87]  Ann Nowé,et al.  Bayesian Best-Arm Identification for Selecting Influenza Mitigation Strategies , 2017, ECML/PKDD.

[88]  D. Normando,et al.  Effects of temperature and humidity on the spread of COVID-19: A systematic review , 2020, medRxiv.

[89]  Nuno R. Faria,et al.  The effect of human mobility and control measures on the COVID-19 epidemic in China , 2020, Science.

[90]  F. J. Richards A Flexible Growth Function for Empirical Use , 1959 .

[91]  Melvin J. Hinich,et al.  Time Series Analysis by State Space Methods , 2001 .

[92]  O. Sharomi,et al.  Optimal control in epidemiology , 2017, Ann. Oper. Res..

[93]  J. A. Vazquez,et al.  Identification of COVID-19 Can be Quicker through Artificial Intelligence framework using a Mobile Phone-Based Survey in the Populations when Cities/Towns Are Under Quarantine Public's early response to the novel coronavirus-infected pneumonia , 2020 .

[94]  Vinay Kumar Reddy Chimmula,et al.  Time series forecasting of COVID-19 transmission in Canada using LSTM networks , 2020, Chaos, Solitons & Fractals.

[95]  Christopher A. Gilligan,et al.  Optimal control of epidemics in metapopulations , 2009, Journal of The Royal Society Interface.

[96]  R. Jain,et al.  Sensitivity and stability analysis of a delayed stochastic epidemic model with temperature gradients , 2016, Modeling Earth Systems and Environment.

[97]  Panagiotis D. Christofides,et al.  Distributed model predictive control: A tutorial review and future research directions , 2013, Comput. Chem. Eng..

[98]  Eduardo José da S. Luz,et al.  Towards an effective and efficient deep learning model for COVID-19 patterns detection in X-ray images , 2020, Research on Biomedical Engineering.

[99]  Etienne Joly,et al.  Faculty Opinions recommendation of Temperature and Latitude Analysis to Predict Potential Spread and Seasonality for COVID-19. , 2020 .

[100]  N. Crokidakis Data analysis and modeling of the evolution of COVID-19 in Brazil , 2020, 2003.12150.

[101]  S. Bhatt,et al.  Report 13: Estimating the number of infections and the impact of non-pharmaceutical interventions on COVID-19 in 11 European countries , 2020 .

[102]  Eugene B. Postnikov,et al.  Estimation of COVID-19 dynamics “on a back-of-envelope”: Does the simplest SIR model provide quantitative parameters and predictions? , 2020, Chaos, Solitons & Fractals.

[103]  R. Lazarus Automated, High-throughput Surveillance Systems for Public Health , 2010 .

[104]  Marco Conti,et al.  Opportunistic networking: data forwarding in disconnected mobile ad hoc networks , 2006, IEEE Communications Magazine.

[105]  Neeraj Gupta,et al.  Prediction for the spread of COVID-19 in India and effectiveness of preventive measures , 2020, Science of The Total Environment.

[106]  Mahbubul H. Riad,et al.  Short-term forecast and dual state-parameter estimation for Japanese Encephalitis transmission using ensemble Kalman filter , 2019, 2019 American Control Conference (ACC).

[107]  J. Lessler,et al.  Estimating the burden of SARS-CoV-2 in France , 2020, Science.

[108]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[109]  C. Murray Forecasting COVID-19 impact on hospital bed-days, ICU-days, ventilator-days and deaths by US state in the next 4 months , 2020, medRxiv.

[110]  Rachel E. Baker,et al.  Susceptible supply limits the role of climate in the early SARS-CoV-2 pandemic , 2020, Science.

[111]  R. Neher,et al.  Potential impact of seasonal forcing on a SARS-CoV-2 pandemic , 2020, medRxiv.

[112]  Jingui Xie,et al.  Association between short-term exposure to air pollution and COVID-19 infection: Evidence from China , 2020, Science of The Total Environment.

[113]  Richard S. Sutton,et al.  Reinforcement Learning: An Introduction , 1998, IEEE Trans. Neural Networks.

[114]  Wei Liu,et al.  Impact of temperature on the dynamics of the COVID-19 outbreak in China , 2020, Science of The Total Environment.

[115]  Nick Andrews,et al.  A Statistical Algorithm for the Early Detection of Outbreaks of Infectious Disease , 1996 .

[116]  D. Sornette,et al.  Generalized logistic growth modeling of the COVID-19 outbreak in 29 provinces in China and in the rest of the world , 2020, medRxiv.

[117]  Yunqian Ma,et al.  Practical selection of SVM parameters and noise estimation for SVM regression , 2004, Neural Networks.

[118]  Daniel Gutiérrez Reina,et al.  Covid-19: Open-Data Resources for Monitoring, Modeling, and Forecasting the Epidemic , 2020, Electronics.

[119]  Maud Delattre,et al.  Inference for partially observed epidemic dynamics guided by Kalman filtering techniques , 2020 .

[120]  M. Bonamente Statistics and Analysis of Scientific Data , 2013, Graduate Texts in Physics.

[121]  Philippe Lemey,et al.  Deep reinforcement learning for large-scale epidemic control , 2020, ECML/PKDD.

[122]  Eric R. Ziegel,et al.  The Elements of Statistical Learning , 2003, Technometrics.

[123]  Daniel Gutiérrez-Reina,et al.  A survey on probabilistic broadcast schemes for wireless ad hoc networks , 2015, Ad Hoc Networks.

[124]  D. J. Weber,et al.  Transmission of SARS and MERS coronaviruses and influenza virus in healthcare settings: the possible role of dry surface contamination☆ , 2015, Journal of Hospital Infection.

[125]  P. Haccou Mathematical Models of Biology , 2022 .

[126]  Francisco Herrera,et al.  Explainable Artificial Intelligence (XAI): Concepts, Taxonomies, Opportunities and Challenges toward Responsible AI , 2020, Inf. Fusion.

[127]  Karin Schwab,et al.  Best Approximation In Inner Product Spaces , 2016 .

[128]  Martin L. Puterman,et al.  Markov Decision Processes: Discrete Stochastic Dynamic Programming , 1994 .

[129]  Fotios Petropoulos,et al.  Forecasting the novel coronavirus COVID-19 , 2020, PloS one.

[130]  George Barbastathis,et al.  Neural Network aided quarantine control model estimation of COVID spread in Wuhan, China , 2020 .

[131]  H. B. Mitchell Data Fusion: Concepts and Ideas , 2012 .

[132]  Renée J. Miller Big Data Curation , 2014, COMAD.

[133]  Ezekiel J Emanuel,et al.  Fair Allocation of Scarce Medical Resources in the Time of Covid-19. , 2020, The New England journal of medicine.

[134]  Lin Wang,et al.  Predicting turning point, duration and attack rate of COVID-19 outbreaks in major Western countries , 2020, Chaos, Solitons & Fractals.

[135]  A. Cook,et al.  Inference in Epidemic Models without Likelihoods , 2009 .

[136]  O. Mangasarian Sufficient Conditions for the Optimal Control of Nonlinear Systems , 1966 .

[137]  Andrea Saltelli,et al.  Sensitivity Analysis for Importance Assessment , 2002, Risk analysis : an official publication of the Society for Risk Analysis.

[138]  Gregory N. Baltas,et al.  Monte Carlo Deep Neural Network Model for Spread and Peak Prediction of COVID-19 , 2020 .

[139]  W. Ko,et al.  Global epidemiology of coronavirus disease 2019 (COVID-19): disease incidence, daily cumulative index, mortality, and their association with country healthcare resources and economic status , 2020, International Journal of Antimicrobial Agents.

[140]  Mikhail Prokopenko,et al.  Phase Transitions in Spatial Connectivity during Influenza Pandemics , 2020, Entropy.

[141]  Sarah Cobey,et al.  Modeling infectious disease dynamics , 2020, Science.

[142]  R. Schooley,et al.  Reducing transmission of SARS-CoV-2 , 2020, Science.

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

[144]  Hadi Jahanshahi,et al.  Optimal policies for control of the novel coronavirus disease (COVID-19) outbreak , 2020, Chaos, Solitons & Fractals.

[145]  Zeynep Ceylan Estimation of COVID-19 prevalence in Italy, Spain, and France , 2020, Science of The Total Environment.

[146]  Min Zhao,et al.  A nationwide survey of psychological distress among Chinese people in the COVID-19 epidemic: implications and policy recommendations , 2020, General Psychiatry.

[147]  Jasper Snoek,et al.  Practical Bayesian Optimization of Machine Learning Algorithms , 2012, NIPS.

[148]  Peter Dayan,et al.  Q-learning , 1992, Machine Learning.

[149]  John Geweke,et al.  Predicting turning points , 2000 .

[150]  Chadi Assi,et al.  Disruption-Tolerant Networking: A Comprehensive Survey on Recent Developments and Persisting Challenges , 2012, IEEE Communications Surveys & Tutorials.

[151]  Nuria Oliver,et al.  The Covid19Impact Survey: Assessing the Pulse of the COVID-19 Pandemic in Spain via 24 questions , 2020, ArXiv.

[152]  Weifeng Lv,et al.  Impact of temperature and relative humidity on the transmission of COVID-19: a modelling study in China and the United States , 2020, BMJ Open.

[153]  Y. Moreno,et al.  Evaluation of the potential incidence of COVID-19 and effectiveness of containment measures in Spain: a data-driven approach , 2020, BMC Medicine.

[154]  Andrea Yáñez,et al.  Towards the Control of Epidemic Spread: Designing Reinforcement Learning Environments , 2019, AICS.

[155]  Francesco Casella Can the COVID-19 epidemic be managed on the basis of daily data? , 2020, ArXiv.

[156]  N. Linton,et al.  Serial interval of novel coronavirus (COVID-19) infections , 2020, International Journal of Infectious Diseases.

[157]  Chinwendu Enyioha,et al.  Distributed resource allocation for control of spreading processes , 2015, 2015 European Control Conference (ECC).

[158]  Dirk Helbing,et al.  Saving Human Lives: What Complexity Science and Information Systems can Contribute , 2014, Journal of statistical physics.

[159]  David R. Anderson,et al.  Model selection and multimodel inference : a practical information-theoretic approach , 2003 .

[160]  Reza Yaesoubi,et al.  Identifying cost‐effective dynamic policies to control epidemics , 2016, Statistics in medicine.

[161]  Francesco Casella,et al.  Can the COVID-19 Epidemic Be Controlled on the Basis of Daily Test Reports? , 2020, IEEE Control Systems Letters.

[162]  W. Liang,et al.  Modified SEIR and AI prediction of the epidemics trend of COVID-19 in China under public health interventions , 2020, Journal of thoracic disease.

[163]  Geni Gupur,et al.  Threshold and stability results for an age-structured SEIR epidemic model , 2001 .

[164]  Chinwendu Enyioha,et al.  Optimal vaccine allocation to control epidemic outbreaks in arbitrary networks , 2013, 52nd IEEE Conference on Decision and Control.

[165]  Md. Siddikur Rahman,et al.  The SARS, MERS and novel coronavirus (COVID-19) epidemics, the newest and biggest global health threats: what lessons have we learned? , 2020, International journal of epidemiology.

[166]  Kirsten Roomp,et al.  The COVID19Impact Survey: Assessing the Pulse of the COVID-19 Pandemic in Spain via 24 Questions. , 2020, Journal of medical Internet research.

[167]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[168]  Arni S. R. Srinivasa Rao,et al.  Identification of COVID-19 can be quicker through artificial intelligence framework using a mobile phone–based survey when cities and towns are under quarantine , 2020, Infection Control & Hospital Epidemiology.

[169]  Péter L. Simon,et al.  Dynamic Control of Modern, Network-Based Epidemic Models , 2014, SIAM J. Appl. Dyn. Syst..

[170]  Rudy R. Negenborn,et al.  Distributed Model Predictive Control Made Easy , 2013 .

[171]  R. H. Myers,et al.  A TUTORIAL ON GENERALIZED LINEAR MODELS , 1997 .

[172]  F. Amenta,et al.  COVID-19 virus outbreak forecasting of registered and recovered cases after sixty day lockdown in Italy: A data driven model approach , 2020, Journal of Microbiology, Immunology and Infection.

[173]  Emanuel Todorov,et al.  Optimal Control Theory , 2006 .

[174]  Saverio Delpriori,et al.  Digital Ariadne: Citizen Empowerment for Epidemic Control , 2020, ArXiv.

[175]  Slawomir T. Wierzchon,et al.  Modern Algorithms of Cluster Analysis , 2018 .

[176]  Trevor Hastie,et al.  The Elements of Statistical Learning , 2001 .

[177]  Chi K. Tse,et al.  Clustering model for transmission of the SARS virus: application to epidemic control and risk assessment , 2005, Physica A: Statistical Mechanics and its Applications.

[178]  R. Evans European Centre for Disease Prevention and Control. , 2014, Nursing standard (Royal College of Nursing (Great Britain) : 1987).

[179]  D. Sornette,et al.  Generalized logistic growth modeling of the COVID-19 outbreak: comparing the dynamics in the 29 provinces in China and in the rest of the world , 2020, Nonlinear dynamics.

[180]  S. Cauchemez,et al.  Estimating in real time the efficacy of measures to control emerging communicable diseases. , 2006, American journal of epidemiology.

[181]  Reza Yaesoubi,et al.  Identifying dynamic tuberculosis case-finding policies for HIV/TB coepidemics , 2013, Proceedings of the National Academy of Sciences.

[182]  Ioannis D. Apostolopoulos,et al.  Covid-19: automatic detection from X-ray images utilizing transfer learning with convolutional neural networks , 2020, Physical and Engineering Sciences in Medicine.

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

[184]  Janmenjoy Nayak,et al.  Role of intelligent computing in COVID-19 prognosis: A state-of-the-art review , 2020, Chaos, Solitons & Fractals.

[185]  E. Crisostomi,et al.  On Fast Multi-Shot COVID-19 Interventions for Post Lock-Down Mitigation , 2020 .

[186]  Matthew Scotch,et al.  Comparison of ARIMA and Random Forest time series models for prediction of avian influenza H5N1 outbreaks , 2014, BMC Bioinformatics.

[187]  Savi Maharaj,et al.  Controlling epidemic spread by social distancing: Do it well or not at all , 2012, BMC Public Health.

[188]  Jue Liu,et al.  Effects of temperature and humidity on the daily new cases and new deaths of COVID-19 in 166 countries , 2020, Science of The Total Environment.

[189]  E. Álvarez,et al.  New coronavirus outbreak. Lessons learned from the severe acute respiratory syndrome epidemic , 2015, Epidemiology and Infection.

[190]  Roy Lindelauf,et al.  “Stay nearby or get checked”: A Covid-19 control strategy , 2020, Infectious Disease Modelling.

[191]  Yiu Chung Lau,et al.  Temporal dynamics in viral shedding and transmissibility of COVID-19 , 2020, Nature Medicine.

[192]  Tim Lant,et al.  Towards Real Time Epidemiology: Data Assimilation, Modeling and Anomaly Detection of Health Surveillance Data Streams , 2007, BioSurveillance.

[193]  Marcelo Menezes Morato,et al.  An optimal predictive control strategy for COVID-19 (SARS-CoV-2) social distancing policies in Brazil , 2020, Annual Reviews in Control.

[194]  V. Isham,et al.  Modeling infectious disease dynamics in the complex landscape of global health , 2015, Science.

[195]  A. F. Filippov On Certain Questions in the Theory of Optimal Control , 1962 .

[196]  Johannes Haushofer,et al.  Which interventions work best in a pandemic? , 2020, Science.

[197]  Yunpeng Ji,et al.  Potential association between COVID-19 mortality and health-care resource availability , 2020, The Lancet Global Health.

[198]  Swapan Kumar Nandi,et al.  A model based study on the dynamics of COVID-19: Prediction and control , 2020, Chaos, Solitons & Fractals.

[199]  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.

[200]  M. Lipsitch,et al.  Projecting the transmission dynamics of SARS-CoV-2 through the postpandemic period , 2020, Science.

[201]  H. Thorp The costs of secrecy , 2020, Science.

[202]  Shane Legg,et al.  Human-level control through deep reinforcement learning , 2015, Nature.

[203]  Donald E. Kirk,et al.  Optimal control theory : an introduction , 1970 .

[204]  R. Brook,et al.  Response to COVID-19 in Taiwan: Big Data Analytics, New Technology, and Proactive Testing. , 2020, JAMA.

[205]  Tim D. Spector,et al.  Rapid implementation of mobile technology for real-time epidemiology of COVID-19 , 2020, Science.

[206]  Y. Kinfu,et al.  COVID-19 pandemic in the African continent: forecasts of cumulative cases, new infections, and mortality , 2020, medRxiv.

[207]  Nakul Chitnis,et al.  Mathematical models of contact patterns between age groups for predicting the spread of infectious diseases. , 2013, Mathematical biosciences and engineering : MBE.

[208]  J. Gog How you can help with COVID-19 modelling , 2020, Nature Reviews Physics.

[209]  Baltazar Nunes,et al.  Influenza surveillance in Europe: establishing epidemic thresholds by the Moving Epidemic Method , 2012, Influenza and other respiratory viruses.

[210]  Laurent Hébert-Dufresne,et al.  Enhancing disease surveillance with novel data streams: challenges and opportunities , 2015, EPJ Data Science.

[211]  Alessandro Vespignani,et al.  The GLEaMviz computational tool, a publicly available software to explore realistic epidemic spreading scenarios at the global scale , 2011, BMC infectious diseases.

[212]  Matteo Cinelli,et al.  The COVID-19 social media infodemic , 2020, Scientific reports.

[213]  Elizabeth S. Allman,et al.  Mathematical Models in Biology - Introduction , 2004 .

[214]  E. Kostelich,et al.  To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic , 2020, Infectious Disease Modelling.

[215]  Prediction of the time evolution of the Covid-19 Pandemic in Italy by a Gauss Error Function and Monte Carlo simulations , 2020, medRxiv.

[216]  Richard Goldstein,et al.  Regression Methods in Biostatistics: Linear, Logistic, Survival and Repeated Measures Models , 2006, Technometrics.

[217]  Ta-Chien Chan,et al.  Surveillance and Epidemiology of Infectious Diseases using Spatial and Temporal Lustering Methods , 2010, Infectious Disease Informatics and Biosurveillance.

[218]  Jeremy Ginsberg,et al.  Detecting influenza epidemics using search engine query data , 2009, Nature.

[219]  Lior Rokach,et al.  Ensemble learning: A survey , 2018, WIREs Data Mining Knowl. Discov..

[220]  Leah Edelstein-Keshet,et al.  Mathematical models in biology , 2005, Classics in applied mathematics.

[221]  Godfrey A. Walters,et al.  Symbolic and numerical regression: experiments and applications , 2003, Inf. Sci..

[222]  Lawrence Carin,et al.  Digital technology and COVID-19 , 2020, Nature Medicine.

[223]  A. Gandomi,et al.  Time Series Analysis and Forecast of the COVID-19 Pandemic in India using Genetic Programming , 2020, Chaos, Solitons & Fractals.

[224]  Jorge Nocedal,et al.  Optimization Methods for Large-Scale Machine Learning , 2016, SIAM Rev..

[225]  Daniel Liberzon,et al.  Calculus of Variations and Optimal Control Theory: A Concise Introduction , 2012 .

[226]  Nuria Oliver,et al.  ACDC-Tracing: Towards Anonymous Citizen-Driven Contact Tracing , 2020, ArXiv.

[227]  G. Leung,et al.  Understanding the Spatial Clustering of Severe Acute Respiratory Syndrome (SARS) in Hong Kong , 2004, Environmental health perspectives.

[228]  Ross Sparks,et al.  Challenges in designing a disease surveillance plan: What we have and what we need? , 2013 .

[229]  Shankar Narasimhan,et al.  Data reconciliation & gross error detection: an intelligent use of process data , 1999 .

[230]  Estimating clinical severity of COVID-19 from the transmission dynamics in Wuhan, China , 2020, Nature Medicine.

[231]  Chinwendu Enyioha,et al.  Dynamic Resource Allocation to Control Epidemic Outbreaks A Model Predictive Control Approach , 2018, 2018 Annual American Control Conference (ACC).

[232]  M. Agha,et al.  Evidence based management guideline for the COVID-19 pandemic - Review article , 2020, International Journal of Surgery.

[233]  Barney S. Graham,et al.  Rapid COVID-19 vaccine development , 2020, Science.

[234]  Carl A. B. Pearson,et al.  The effect of control strategies to reduce social mixing on outcomes of the COVID-19 epidemic in Wuhan, China: a modelling study , 2020, The Lancet Public Health.

[235]  Theodore Kypraios,et al.  A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation. , 2017, Mathematical biosciences.

[236]  John T. Workman,et al.  Optimal Control Applied to Biological Models , 2007 .

[237]  Aarnout Brombacher,et al.  Probability... , 2009, Qual. Reliab. Eng. Int..

[238]  Lucie Abeler-Dörner,et al.  Quantifying SARS-CoV-2 transmission suggests epidemic control with digital contact tracing , 2020, Science.

[239]  Lamberto Cesari,et al.  Existence Theorems for Optimal Solutions in Pontryagin and Lagrange Problems , 1965 .

[240]  B. Grenfell,et al.  Mapping the Burden of COVID-19 in the United States , 2020, medRxiv.

[241]  M. Petit Dynamic optimization. The calculus of variations and optimal control in economics and management : by Morton I. Kamien and Nancy L. Schwartz. Second Edition. North-Holland (Advanced Textbooks in Economics), Amsterdam and New York, 1991. Pp. xvii+377. ISBN0-444- 01609-0 , 1994 .

[242]  Kathy Leung,et al.  Nowcasting and forecasting the potential domestic and international spread of the 2019-nCoV outbreak originating in Wuhan, China: a modelling study (vol 395, pg 689, 2020) , 2020 .

[243]  P. Colaneri,et al.  Modelling the COVID-19 epidemic and implementation of population-wide interventions in Italy , 2020, Nature Medicine.

[244]  Yonghong Xiao,et al.  Taking the right measures to control COVID-19 , 2020, The Lancet Infectious Diseases.

[245]  M. Brandeau,et al.  Resource allocation for control of infectious diseases in multiple independent populations: beyond cost-effectiveness analysis. , 2003, Journal of health economics.

[246]  Anand Seetharam,et al.  Understanding the Socio-Economic Disruption in the United States during COVID-19's Early Days , 2020, ArXiv.

[247]  Maia Martcheva,et al.  An Introduction to Mathematical Epidemiology , 2015 .

[248]  Maximilian Mozes,et al.  Measuring Emotions in the COVID-19 Real World Worry Dataset , 2020, NLPCOVID19.

[249]  Hannah R. Meredith,et al.  The Incubation Period of Coronavirus Disease 2019 (COVID-19) From Publicly Reported Confirmed Cases: Estimation and Application , 2020, Annals of Internal Medicine.

[250]  Carlos Castillo-Chavez,et al.  Modeling control strategies for concurrent epidemics of seasonal and pandemic H1N1 influenza. , 2011, Mathematical biosciences and engineering : MBE.

[251]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[252]  Suresh P. Sethi,et al.  A Survey of the Maximum Principles for Optimal Control Problems with State Constraints , 1995, SIAM Rev..

[253]  Dirk Helbing,et al.  Give more data, awareness and control to individual citizens, and they will help COVID-19 containment , 2020, Ethics and Information Technology.

[254]  N. Hens,et al.  The French Connection: The First Large Population-Based Contact Survey in France Relevant for the Spread of Infectious Diseases , 2015, PloS one.

[255]  B Cazelles,et al.  Using the Kalman filter and dynamic models to assess the changing HIV/AIDS epidemic. , 1997, Mathematical biosciences.

[256]  George J. Pappas,et al.  Analysis and Control of Epidemics: A Survey of Spreading Processes on Complex Networks , 2015, IEEE Control Systems.

[257]  Arthur E. Hoerl,et al.  Ridge Regression: Biased Estimation for Nonorthogonal Problems , 2000, Technometrics.

[258]  John K Kruschke,et al.  Bayesian data analysis. , 2010, Wiley interdisciplinary reviews. Cognitive science.

[259]  G. Leung,et al.  Nowcasting and forecasting the potential domestic and international spread of the 2019-nCoV outbreak originating in Wuhan, China: a modelling study , 2020, The Lancet.