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Real-Time Estimation of R0 for COVID-19 Spread

Theodore E. Simos, Ch. Tsitouras, Vladislav N. Kovalnogov, Ruslan V. Fedorov, Dmitry A. Generalov

2021Mathematics21 citationsDOIOpen Access PDF

Abstract

We propose a real-time approximation of R0 in an SIR-type model that applies to the COVID-19 epidemic outbreak. A very useful direct formula expressing R0 is found. Then, various type of models are considered, namely, finite differences, cubic splines, Piecewise Cubic Hermite interpolation and linear least squares approximation. Preserving the monotonicity of the formula under consideration proves to be of crucial importance. This latter property is preferred over accuracy, since it maintains positive R0. Only the Linear Least Squares technique guarantees this, and is finally proposed here. Tests on real COVID-19 data confirm the usefulness of our approach.

Topics & Concepts

Hermite interpolationApplied mathematicsCoronavirus disease 2019 (COVID-19)MathematicsMonotonic functionInterpolation (computer graphics)Least-squares function approximationType (biology)Hermite polynomialsProperty (philosophy)Generalized least squaresPiecewise linear functionPiecewiseSevere acute respiratory syndrome coronavirus 2 (SARS-CoV-2)Mathematical optimizationComputer scienceMathematical analysisStatisticsArtificial intelligenceMedicineEstimatorDiseaseMotion (physics)PathologyEcologyBiologyPhilosophyInfectious disease (medical specialty)EpistemologyCOVID-19 epidemiological studiesFractional Differential Equations SolutionsModel Reduction and Neural Networks
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