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Topological Data Analysis is a relatively new field of study that uses topological invariants to study the shape of data. We analyze a dataset provided by the Centers for Disease Control and Prevention (CDC) using persistent homology and…

Algebraic Topology · Mathematics 2025-10-20 Megan Fairchild , Matthew Lemoine

This work provides an overview on deterministic and stochastic models that have previously been proposed by us to study the transmission dynamics of the Coronavirus Disease 2019 (COVID-19) in Europe and USA. Briefly, we describe realistic…

Populations and Evolution · Quantitative Biology 2022-07-11 Giorgio Sonnino , Philippe Peeters , Pasquale Nardone

One of the central tools to control the COVID-19 pandemics is the knowledge of its spreading dynamics. Here we develop a fractal model capable of describe this dynamics, in term of daily new cases, and provide quantitative criteria for some…

Physics and Society · Physics 2020-07-16 Oscar Sotolongo-Costa , José Weberszpil , Oscar Sotolongo-Grau

Early detection and isolation of COVID-19 patients are essential for successful implementation of mitigation strategies and eventually curbing the disease spread. With a limited number of daily COVID-19 tests performed in every country,…

Quantitative Methods · Quantitative Biology 2022-06-15 Mohammed Alser , Jeremie S. Kim , Nour Almadhoun Alserr , Stefan W. Tell , Onur Mutlu

This paper uses a new textual data index for predicting stock market data. The index is applied to a large set of news to evaluate the importance of one or more general economic-related keywords appearing in the text. The index assesses the…

General Finance · Quantitative Finance 2023-07-11 A. Fronzetti Colladon , S. Grassi , F. Ravazzolo , F. Violante

The advent of the COVID-19 pandemic has instigated unprecedented changes in many countries around the globe, putting a significant burden on the health sectors, affecting the macro economic conditions, and altering social interactions…

Physics and Society · Physics 2020-07-23 Dmitry Gordeev , Philipp Singer , Marios Michailidis , Mathias Müller , SriSatish Ambati

Epidemiological models with constant parameters may not capture satisfactory infection patterns in the presence of pharmaceutical and non-pharmaceutical mitigation measures during a pandemic, since infectiousness is a function of time. In…

Populations and Evolution · Quantitative Biology 2022-05-16 K. D. Olumoyin , A. Q. M. Khaliq , K. M. Furati

While COVID-19 has resulted in a significant increase in global mortality rates, the impact of the pandemic on mortality from other causes remains uncertain. To gain insight into the broader effects of COVID-19 on various causes of death,…

Applications · Statistics 2024-09-05 Wei Zhang , Antonietta Mira , Ernst C. Wit

Approaches to the calculation of the full state vector of a larger epidemiological model for the spread of COVID-19 in Sweden at the initial time instant from available data and with a simplified dynamical model are proposed and evaluated.…

Systems and Control · Electrical Eng. & Systems 2020-07-20 Håkan Runvik , Alexander Medvedev , Robin Eriksson , Stefan Engblom

The COVID-19 disease has forced countries to make a considerable collaborative effort between scientists and governments to provide indicators to suitable follow-up the pandemic's consequences. Mathematical modeling plays a crucial role in…

Populations and Evolution · Quantitative Biology 2020-12-29 Patricio Cumsille , Oscar Rojas-Díaz , Pablo Moisset de Espanés

To date, the only effective means to respond to the spreading of COVID-19 pandemic are non-pharmaceutical interventions (NPIs), which entail policies to reduce social activity and mobility restrictions. Quantifying their effect is…

Physics and Society · Physics 2021-03-01 Francesco Parino , Lorenzo Zino , Maurizio Porfiri , Alessandro Rizzo

We present a robust data-driven machine learning analysis of the COVID-19 pandemic from its early infection dynamics, specifically infection counts over time. The goal is to extract actionable public health insights. These insights include…

Populations and Evolution · Quantitative Biology 2020-04-06 Malik Magdon-Ismail

We propose an SEIARD mathematical model to investigate the current outbreak of coronavirus disease (COVID-19) in Mexico. We conduct a detailed analysis of this model and demonstrate its application using publicly reported data. We calculate…

Populations and Evolution · Quantitative Biology 2021-02-23 Ugo Avila-Ponce de León , Ángel G. C. Pérez , Eric Avila-Vales

As the COVID-19 pandemic continues to ravage the world, it is of critical significance to provide a timely risk prediction of the COVID-19 in multi-level. To implement it and evaluate the public health policies, we develop a framework with…

Physics and Society · Physics 2020-12-02 Lingxiao Wang , Tian Xu , Till Hannes Stoecker , Horst Stoecker , Yin Jiang , Kai Zhou

The COVID-19 outbreak was initially reported in Wuhan, China, and it has been declared as a Public Health Emergency of International Concern (PHEIC) on 30 January 2020 by WHO. It has now spread to over 180 countries, and it has gradually…

Applications · Statistics 2021-05-04 Jiawei Long

COVID-19 is a new pandemic disease that is affecting almost every country with a negative impact on social life and economic activities. The number of infected and deceased patients continues to increase globally. Mathematical models can…

The COVID-19 pandemic is one of the most pressing issues at present. A question which is particularly important for governments and policy makers is the following: Does the virus spread in the same way in different countries? Or are there…

Methodology · Statistics 2020-08-05 Marina Khismatullina , Michael Vogt

The COVID-19 pandemic and its multiple outbreaks have challenged governments around the world. Much of the epidemiological modeling was based on pre-pandemic contact information of the population, which changed drastically due to…

Populations and Evolution · Quantitative Biology 2023-09-15 Santiago Rosa , Manuel Pulido , Juan Ruiz , Tadeo Cocucci

An urgent problem in controlling COVID-19 spreading is to understand the role of undocumented infection. We develop a five-state model for COVID-19, taking into account the unique features of the novel coronavirus, with key parameters…

Populations and Evolution · Quantitative Biology 2020-03-27 Yong-Shang Long , Zheng-Meng Zhai , Li-Lei Han , Jie Kang , Yi-Lin Li , Zhao-Hua Lin , Lang Zeng , Da-Yu Wu , Chang-Qing Hao , Ming Tang , Zonghua Liu , Ying-Cheng Lai

The discovery of SARS-CoV-2, the responsible virus for the Covid-19 epidemic, has sparked a global health concern with many countries affected. Developing models that can interpret the epidemic and give common trend parameters are useful…

Populations and Evolution · Quantitative Biology 2021-09-21 Milad Radiom , Jean-Franccois Berret