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We review epidemiological models for the propagation of the COVID-19 pandemic during the early months of the outbreak: from February to May 2020. The aim is to propose a methodological review that highlights the following characteristics:…

Intent of this research is to explore how mathematical models, specifically Susceptible-Infected-Removed (SIR) model, can be utilized to forecast peak outbreak timeline of COVID-19 epidemic amongst a population of interest starting from the…

Populations and Evolution · Quantitative Biology 2020-09-14 Amit Tewari

The prediction of spread patterns of COVID19 virus in India is very difficult due to its versatile demographic as well as meteorological data distribution. Various researchers across the globe have attempted to correlate the interdependency…

Physics and Society · Physics 2020-10-27 Raj Kishore , Bijaylaxmi Sahoo , Debadatta Swain , Kisor Kumar Sahu

Pandemic control measures like lock-down, restrictions on restaurants and gatherings, social-distancing have shown to be effective in curtailing the spread of COVID-19. However, their sustained enforcement has negative economic effects. To…

In the initial wave of the COVID-19 pandemic we observed great discrepancies in both infection and mortality rates between countries. Besides the biological and epidemiological factors, a multitude of social and economic criteria also…

Physics and Society · Physics 2022-01-14 Viktor Stojkoski , Zoran Utkovski , Petar Jolakoski , Dragan Tevdovski , Ljupco Kocarev

A phenomenological model to describe the Corona Virus(covid-19) Pandemic spread in a given population is developed. It enables the identification of the key quantities required to form adequate policies for control and mitigation in terms…

Populations and Evolution · Quantitative Biology 2020-03-31 Anantanarayanan Thyagaraja

This contribution analyzes the COVID-19 outbreak by comparably simple mathematical and numerical methods. The final goal is to predict the peak of the epidemic outbreak per country with a reliable technique. This is done by an algorithm…

Physics and Society · Physics 2020-05-15 Robert Schaback

The COVID-19 pandemic has led to significant changes in how people are currently living their lives. To determine how to best reduce the effects of the pandemic and start reopening societies, governments have drawn insights from…

Other Quantitative Biology · Quantitative Biology 2020-09-08 Heather Z. Brooks , Unchitta Kanjanasaratool , Yacoub H. Kureh , Mason A. Porter

In the recent COVID-19 pandemic we assisted at a sequence of epidemic waves intertwined by anomalous fade-outs with periods of low but persistent epidemic prevalence. These long-living epidemic states complicate epidemic control and…

Physics and Society · Physics 2025-08-27 Javier Aguilar , Beatriz Arregui García , Raúl Toral , Sandro Meloni , Jose J. Ramasco

We revisit well-established concepts of epidemiology, the Ising-model, and percolation theory. Also, we employ a spin $S$ = 1/2 Ising-like model and a (logistic) Fermi-Dirac-like function to describe the spread of Covid-19. Our analysis…

Populations and Evolution · Quantitative Biology 2021-04-28 Isys F. Mello , Lucas Squillante , Gabriel O. Gomes , Antonio C. Seridonio , M. de Souza

In Fall 2020, several European countries reported rapid increases in COVID-19 cases along with growing estimates of the effective reproduction rates. Such an acceleration in epidemic spread is usually attributed to time-dependent effects,…

Populations and Evolution · Quantitative Biology 2022-11-30 Nazmi Burak Budanur , Björn Hof

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

We analysed publicly available data on place of occurrence of COVID-19 deaths from national statistical agencies in the UK between March 9 2020 and February 28 2021. We introduce a modified Weibull model that describes the deaths due to…

Applications · Statistics 2021-06-30 Spencer A. Thomas

Predicting an accurate expected number of future COVID-19 cases is essential to properly evaluate the effectiveness of any treatment or preventive measure. This study aimed to identify the most appropriate mathematical model to…

Populations and Evolution · Quantitative Biology 2021-04-07 Natalia Blanco , Kristen Stafford , Marie-Claude Lavoie , Axel Brandenburg , Maria W. Gorna , Matthew Merski

In this work, we propose a deep learning approach to forecasting state-level COVID-19 trends of weekly cumulative death in the United States (US) and incident cases in Germany. This approach includes a transformer model, an ensemble method,…

Machine Learning · Computer Science 2023-02-03 Chung Yan Fong , Dit-Yan Yeung

It is well recognized that population heterogeneity plays an important role in the spread of epidemics. While individual variations in social activity are often assumed to be persistent, i.e. constant in time, here we discuss the…

Populations and Evolution · Quantitative Biology 2021-02-22 Alexei V. Tkachenko , Sergei Maslov , Tong Wang , Ahmed Elbanna , George N. Wong , Nigel Goldenfeld

The Covid-19 outbreak of 2020 has required many governments to develop mathematical-statistical models of the outbreak for policy and planning purposes. This work provides a tutorial on building a compartmental model using Susceptibles,…

Applications · Statistics 2020-05-27 Ryad Ghanam , Edward L. Boone , Abdel-Salam G. Abdel-Salam

In this report we fit a semi-mechanistic Bayesian hierarchical model to describe the Mexican COVID-19 epidemic. We obtain two epidemiological measures: the number of infections and the reproduction number. Estimations are based on death…

Applications · Statistics 2020-07-20 Michelle Anzarut , Luis Felipe González , Sonia Mendizábal , María Teresa Ortiz

This paper introduces new methods to analyze the changing progression of COVID-19 cases to deaths in different waves of the pandemic. First, an algorithmic approach partitions each country or state's COVID-19 time series into a first wave…

Physics and Society · Physics 2021-03-18 Nick James , Max Menzies , Peter Radchenko

We propose an SEIR-type meta-population model to simulate and monitor the Covid-19 epidemic evolution. The basic model consists of seven compartments, namely susceptible (S), exposed (E), three infective classes, recovered (R), and deceased…

Populations and Evolution · Quantitative Biology 2020-11-18 Vinicius V. L. Albani , Roberto M. Velho , Jorge P. Zubelli
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