2022
DOI: 10.3390/math10020287
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Estimation of the Instantaneous Reproduction Number and Its Confidence Interval for Modeling the COVID-19 Pandemic

Abstract: In this paper, we derive an optimal model for calculating the instantaneous reproduction number, which is an important metric to help in controlling the evolution of epidemics. Our approach, within a frequentist framework, gave us the opportunity to calculate a more realistic confidence interval, a fundamental tool for a safe interpretation of the instantaneous reproduction number value, so that health and governmental people pay more attention to it. Our reasoning begins by decoupling the incidence data in me… Show more

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Cited by 5 publications
(3 citation statements)
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“…Future research should consider alternative methodological approaches not explored in this article, such as principal component analysis for country classification [ 12 , 59 , 61 ], as well as a theoretical approach based on the geometric Brownian motion [ 16 , 17 , 18 ]. Such studies can foster the development of more comprehensive, effective, and region-specific response strategies to future outbreaks.…”
Section: Discussionmentioning
confidence: 99%
“…Future research should consider alternative methodological approaches not explored in this article, such as principal component analysis for country classification [ 12 , 59 , 61 ], as well as a theoretical approach based on the geometric Brownian motion [ 16 , 17 , 18 ]. Such studies can foster the development of more comprehensive, effective, and region-specific response strategies to future outbreaks.…”
Section: Discussionmentioning
confidence: 99%
“…The precise detection and diagnosis of the rapidly spreading coronavirus have become challenging due to excessive mutations in its structure [11]. For this purpose, researchers have proposed many techniques using machine learning and deep learning technology for Mathematics 2022, 10, 4267 3 of 16 different data modalities, such as chest X-ray images, genomic sequences, and cough audio signals [12], to detect COVID-19-infected persons.…”
Section: Related Workmentioning
confidence: 99%
“…Many researchers have drawn on the famous SIR-susceptible, infectious, recoveredmodel to construct deterministic structures based on differential equations [8,9]. In [10], a generalized SEIR-susceptible, exposed, infectious, recovered-model incorporating selfprotection and quarantine compartments was proposed.…”
Section: Introductionmentioning
confidence: 99%