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We present a data-driven optimal control approach which integrates the reported partial data with the epidemic dynamics for COVID-19. We use a basic Susceptible-Exposed-Infectious-Recovered (SEIR) model, the model parameters are…

Optimization and Control · Mathematics 2020-12-22 Hailiang Liu , Xuping Tian

The presence of a large number of infected individuals with few or no symptoms is an important epidemiological difficulty and the main mathematical feature of COVID-19. The A-SIR model, i.e. a SIR (Susceptible-Infected-Removed) model with a…

Populations and Evolution · Quantitative Biology 2020-08-19 Armando G. M. Neves , Gustavo Guerrero

The infections and fatalities due to SARS-CoV-2 virus for cases specific to India have been studied using a deterministic susceptible-exposed-infected-recovered-dead (SEIRD) compartmental model. One of the most significant epidemiological…

Populations and Evolution · Quantitative Biology 2020-06-09 Vishwajeet Jha

We are currently facing a highly critical case of a world-wide pandemic. The novel coronavirus (SARS-CoV-2, a.k.a. COVID-19) has proved to be extremely contagious and the original outbreak from Asia has now spread to all continents. This…

Physics and Society · Physics 2020-06-26 Priyanka , Vicky Verma

The continuously growing number of COVID-19 cases pressures healthcare services worldwide. Accurate short-term forecasting is thus vital to support country-level policy making. The strategies adopted by countries to combat the pandemic…

Methodology · Statistics 2021-04-07 Thiago de Paula Oliveira , Rafael de Andrade Moral

The role of epidemiological models is crucial for informing public health officials during a public health emergency, such as the COVID-19 pandemic. However, traditional epidemiological models fail to capture the time-varying effects of…

Methodology · Statistics 2022-06-17 Adam Spannaus , Theodore Papamarkou , Samantha Erwin , J. Blair Christian

By characterising the time evolution of COVID-19 in term of its "velocity" (log of the new cases per day) and its rate of variation, or "acceleration", we show that in many countries there has been a deceleration even before lockdowns were…

Populations and Evolution · Quantitative Biology 2020-12-29 Giacomo Barzon , Karan Kabbur Hanumanthappa Manjunatha , Wolfgang Rugel , Enzo Orlandini , Marco Baiesi

The spread of COVID-19 during the initial phase of the first half of 2020 was curtailed to a larger or lesser extent through measures of social distancing imposed by most countries. In this work, we link directly, through machine learning…

Populations and Evolution · Quantitative Biology 2020-08-20 G. D. Barmparis , G. P. Tsironis

In this short note we model the region-wise trends of the evolution to COVID-19 infections using a stochastic SIR model. The SIR dynamics are expressed using \textit{It\^o-stochastic differential equations}. We first derive the parameters…

Populations and Evolution · Quantitative Biology 2020-04-17 Ashutosh Simha , R. Venkatesha Prasad , Sujay Narayana

The SEIR model is a widely used epidemiological model used to predict the rise in infections. This model has been widely used in different countries to predict the number of Covid-19 cases. But the original SEIR model does not take into…

Machine Learning · Computer Science 2021-10-08 Sathiyanarayanan Sampath , Joy Bose

The last leg of the year 2019 gave rise to a virus named COVID-19 (Corona Virus Disease 2019). Since the beginning of this infection in India, the government implemented several policies and restrictions to curtail its spread among the…

Populations and Evolution · Quantitative Biology 2020-09-15 Punam Bedi , Shivani , Pushkar Gole , Neha Gupta , Vinita Jindal

The severe acute respiratory syndrome COVID-19 has been in the center of the ongoing global health crisis in 2020. The high prevalence of mild cases facilitates sub-notification outside hospital environments and the number of those who are…

Populations and Evolution · Quantitative Biology 2021-05-26 Gilberto Nakamura , Basil Grammaticos , Christophe Deroulers , Mathilde Badoual

This work constructs, analyzes, and simulates a new compartmental SEIR-type model for the dynamics and potential control of the current COVID-19 pandemic. The novelty in this work is two-fold. First, the population is divided according to…

Populations and Evolution · Quantitative Biology 2021-05-14 Aycil Cesmelioglu , Kenneth L. Kuttler , Meir Shillor , Anna M. Spagnuolo

This paper seeks to study the evolution of the COVID-19 pandemic based on daily published data from Worldometer website, using a time-dependent SIR model. Our findings indicate that this model fits well such data, for different chosen…

Populations and Evolution · Quantitative Biology 2023-11-28 Rawan H. Madi , Sophie M. Moufawad , Nabil R. Nassif

As the outbreak of COVID-19 enters its third year, we have now enough data to analyse the behavior of the pandemic with mathematical models over a long period of time. The pandemic alternates periods of high and low infections, in a way…

Populations and Evolution · Quantitative Biology 2022-03-17 Alex Viguerie , Margherita Carletti , Alessandro Veneziani , Guido Silvestri

The dramatic outbreak of the coronavirus disease 2019 (COVID-19) pandemics and its ongoing progression boosted the scientific community's interest in epidemic modeling and forecasting. The SIR (Susceptible-Infected-Removed) model is a…

Populations and Evolution · Quantitative Biology 2021-02-24 Dimiter Prodanov

To reduce the biases of traditional survey-based methods, this paper proposes an epidemic model-based approach to inference the incubation period distribution of COVID-19 utilizing the publicly reported confirmed case number. We construct…

Populations and Evolution · Quantitative Biology 2020-07-23 Shiyang Lai , Tianqi Zhao , Ningyuan Fan

The classic SIR model of epidemic dynamics is solved completely by quadratures, including a time integral transform expanded in a series of incomplete gamma functions. The model is also generalized to arbitrary time-dependent infection…

Populations and Evolution · Quantitative Biology 2020-10-07 E. Sadurní , G. Luna-Acosta

This article presents a new model to predict the evolution of infective diseases under uncertainty or low-quality information, just as it has happened in the initial scenario during the CoVid-19 spread in China and Europe. The model has…

Other Quantitative Biology · Quantitative Biology 2020-04-14 Efren M. Benavides

Currently, the evolution of Covid-19 allows researchers to gather the datasets accumulated over 2 years and to use them in predictive analysis. In turn, this makes it possible to assess the efficiency potential of more complex predictive…

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