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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 propose a compartmental mathematical model for the spread of the COVID-19 disease, showing its usefulness with respect to the pandemic in Portugal, from the first recorded case in the country till the end of the three states of…

Populations and Evolution · Quantitative Biology 2020-11-30 Ana P. Lemos-Paiao , Cristiana J. Silva , Delfim F. M. Torres

Many models of epidemic spread have a common qualitative structure. The numbers of infected individuals during the initial stages of an epidemic can be well approximated by a branching process, after which the proportion of individuals that…

Probability · Mathematics 2013-01-16 A. D. Barbour , Gesine Reinert

We analyze an epidemic model on a network consisting of susceptible-infected-recovered equations at the nodes coupled by diffusion using a graph Laplacian. We introduce an epidemic criterion and examine different vaccination/containment…

Physics and Society · Physics 2020-09-25 F. Bustamante-Castaneda , J. -G. Caputo , G. Cruz-Pacheco , A. Knippel , F. Mouatamide

This study aims to estimate the parameters of a stochastic exposed-infected epidemiological model for the transmission dynamics of notifiable infectious diseases, based on observations related to isolated cases counts only. We use the…

Applications · Statistics 2024-04-15 Ibrahim Bouzalmat , Benoîte de Saporta , Solym M. Manou-Abi

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

Graphs are widely used for describing systems made up of many interacting components and for understanding the structure of their interactions. Various statistical models exist, which describe this structure as the result of a combination…

Methodology · Statistics 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

The use of cumulative incidence functions for characterizing the risk of one type of event in the presence of others has become increasingly popular over the past decade. The problems of modeling, estimation and inference have been treated…

Methodology · Statistics 2021-06-25 Youngjoo Cho , Annette M. Molinaro , Chen Hu , Robert L. Strawderman

The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

Machine Learning · Statistics 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

Classical epidemiological models assume homogeneous populations. There have been important extensions to model heterogeneous populations, when the identity of the sub-populations is known, such as age group or geographical location. Here,…

Machine Learning · Computer Science 2023-02-10 Roberto Vega , Zehra Shah , Pouria Ramazi , Russell Greiner

There are many hard-to-reconcile numbers circulating concerning Covid-19. Using reports from random testing, the fatality ratio per infection is evaluated and used to extract further information on the actual fraction of infections and the…

Populations and Evolution · Quantitative Biology 2020-05-25 Allen Caldwell , Vasyl Hafych , Oliver SChulz , Lolian Shtembari

This paper presents a reproducible and process-aware pipeline for predictive monitoring of clinical pathways. The approach integrates data lifting, temporal reconstruction, event log construction, prefix-based representations, and…

Machine Learning · Computer Science 2026-05-13 Pasquale Ardimento , Mario Luca Bernardi , Marta Cimitile , Samuele Latorre

Renewal models are widely used in statistical epidemiology as semi-mechanistic models of disease transmission. While primarily used for estimating the instantaneous reproduction number, they can also be used for generating projections,…

Methodology · Statistics 2025-09-25 Nicholas Steyn , Kris V. Parag , Robin N. Thompson , Christl A. Donnelly

Traditionally, the identification of parameters in the formulation and solution of inverse problems considers that models, variables and mathematical parameters are free of uncertainties. This aspect simplifies the estimation process, but…

Populations and Evolution · Quantitative Biology 2020-06-02 Gustavo Barbosa Libotte , Fran Sérgio Lobato , Gustavo Mendes Platt

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

Refined vaccine regimens containing variant-matched inserts are often authorized based on historical phase 3 efficacy trials together with immunobridging studies. Phase 3 trials are essential for establishing immune biomarkers that reliably…

Methodology · Statistics 2026-04-16 Pan Zhao , Peter B. Gilbert , Oliver Dukes , Bo Zhang

Linear causal models are important tools for modeling causal dependencies and yet in practice, only a subset of the variables can be observed. In this paper, we examine the parameter identifiability of these models by investigating whether…

Machine Learning · Computer Science 2025-02-11 Xinshuai Dong , Ignavier Ng , Biwei Huang , Yuewen Sun , Songyao Jin , Roberto Legaspi , Peter Spirtes , Kun Zhang

Compartmental transmission models have become an invaluable tool to study the dynamics of infectious diseases. The Susceptible-Infectious-Recovered (SIR) model is known to have an exact semi-analytical solution. In the current study, the…

Populations and Evolution · Quantitative Biology 2020-11-03 Kevin Heng , Christian L. Althaus

We develop a general modelling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment-specific traits. We start by formulating an individual-based…

Populations and Evolution · Quantitative Biology 2025-08-14 Emanuele Bernardi , Tommaso Lorenzi , Mattia Sensi , Andrea Tosin

Norden E. Huang, Fangli Qiao and Ka Kit Tung presented a data-driven model for the COVID-19 epidemic in which the relevant functions depend on a set of seven parameters obtained from a statistical analysis of the available data. These…

Physics and Society · Physics 2020-08-17 Charles Horvath
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