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It is widely accepted that the number of reported cases during the first stages of the COVID-19 pandemic severely underestimates the number of actual cases. We leverage delay embedding theorems of Whitney and Takens and use Gaussian Process…

Quantitative Methods · Quantitative Biology 2022-02-02 G. A. Kevrekidis , Z. Rapti , Y. Drossinos , P. G. Kevrekidis , M. A. Barmann , Q. Y. Chen , J. Cuevas-Maraver

We propose a mathematical model for the transmission dynamics of SARS-CoV-2 in a homogeneously mixing non constant population, and generalize it to a model where the parameters are given by piecewise constant functions. This allows us to…

During an infectious disease outbreak, biases in the data and complexities of the underlying dynamics pose significant challenges in mathematically modelling the outbreak and designing policy. Motivated by the ongoing response to COVID-19,…

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

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

Effective control requires knowledge of the process dynamics to guide the system toward desired states. In many control applications this knowledge is expressed mathematically or through data-driven models, however, as complexity grows…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Joseph Park , George Sugihara , Gerald Pao

The COVID-19 pandemic has significantly challenged traditional epidemiological models due to factors such as delayed diagnosis, asymptomatic transmission, isolation-induced contact changes, and underreported mortality. In response to these…

Applications · Statistics 2025-03-10 Wenchen Liu , Chang Liu , Dehui Wang , Yiyuan She

The main focus of this chapter is on public health control strategies which are currently the main way to mitigate COVID-19 pandemic. We introduce and compare compartmental models of increasing complexity for COVID-19 transmission to…

Populations and Evolution · Quantitative Biology 2020-12-14 Redouane Qesmi , Aayah Hammoumi

Contagion, a concept from epidemiology, has long been used to characterize social influence on people's behavior and affective (emotional) states. While it has revealed many useful insights, it is not clear whether the contagion metaphor is…

Social and Information Networks · Computer Science 2016-02-17 Aamena Alshamsi , Fabio Pianesi , Bruno Lepri , Alex Pentland , Iyad Rahwan

Many governments have managed to control their COVID-19 outbreak with a simple message: keep the effective '$R$ number' $R<1$ to prevent widespread contagion and flatten the curve. This raises the question whether a similar policy could…

The COVID-19 pandemic has resulted in more than 14.5 million infections and 6,04,917 deaths in 212 countries over the last few months. Different drug intervention acting at multiple stages of pathogenesis of COVID-19 can substantially…

Populations and Evolution · Quantitative Biology 2023-09-01 Bhanu Prakash D , D. K. K. Vamsi , D. Bangaru Rajesh , Carani B Sanjeevi

Understanding the dynamics of the COVID-19 pandemic is crucial for improved control and social distancing strategies. To that effect, we have employed the susceptible-exposed-infectious-recovered model, refined by contact tracing and…

Populations and Evolution · Quantitative Biology 2021-01-13 Subhas Khajanchi , Kankan Sarkar , Jayanta Mondal

The SIR-compartment model is among the simplest models that describe the spread of a disease through a population. The model makes the unrealistic assumption that the population through which the disease is spreading is well-mixed. Although…

Populations and Evolution · Quantitative Biology 2022-11-16 Ryan Wilkinson , Marcus Roper

Since the first wave of the COVID-19 pandemic, governments have applied restrictions in order to slow down its spreading. However, creating such policies is hard, especially because the government needs to trade-off the spreading of the…

Machine Learning · Computer Science 2022-05-03 Leonardo Lucio Custode , Giovanni Iacca

During the COVID-19 pandemic, different countries, regions, and communities constructed various epidemic models to evaluate spreading behaviors and assist in making mitigation policies. Model uncertainties, introduced by complex…

Physics and Society · Physics 2025-06-23 Baike She , Rebecca Lee Smith , Ian Pytlarz , Shreyas Sundaram , Philip E. Paré

The worldwide spread of COVID-19 has called for fast advancement of new modelling strategies to estimate its unprecedented spread. Here, we introduce a model based on the fundamental SIR equations with a stochastic disorder by a random…

Physics and Society · Physics 2020-04-28 Suman Dutta

Forecasting the evolution of contagion dynamics is still an open problem to which mechanistic models only offer a partial answer. To remain mathematically or computationally tractable, these models must rely on simplifying assumptions,…

Physics and Society · Physics 2021-08-18 Charles Murphy , Edward Laurence , Antoine Allard

COVID-19 is a global health crisis that has had unprecedented, widespread impact on households across the United States and has been declared a global pandemic on March 11, 2020 by World Health Organization (WHO) [1]. According to Centers…

Systems and Control · Electrical Eng. & Systems 2021-10-25 Harshvardhan Uppaluru , Hamid Emadi , Hossein Rastgoftar

As the COVID-19 outbreak is developing the two most frequently reported statistics seem to be the raw confirmed case and case fatalities counts. Focusing on Italy, one of the hardest hit countries, we look at how these two values could be…

Applications · Statistics 2020-11-23 Krzysztof Bartoszek , Emanuele Guidotti , Stefano Maria Iacus , Marcin Okrój

Intercity travel is one of the most important parameters for combating a pandemic. The ongoing COVID-19 pandemic has resulted in different computational studies involving intercity connections. In this study, the effects of intercity…

Physics and Society · Physics 2025-02-18 Emir Baysazan , A. Nihat Berker , Hasan Mandal , Hakan Kaygusuz