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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

The death toll for Covid-19 may be reduced by dividing the population into two classes, the vulnerable and the fit, with different lockdown regimes. Instead of one reproduction number there now are four parameters. These make it possible to…

Populations and Evolution · Quantitative Biology 2020-10-05 Guus Balkema

In this work we consider a model of epidemic spreading coupled with an opinion dynamics in a fully-connected population. Regarding the opinion dynamics, the individuals may be in two distinct states, namely in favor or against a vaccination…

Physics and Society · Physics 2016-10-28 Marcelo A. Pires , Nuno Crokidakis

Recent seroprevalence studies have tried to estimate the real number of asymptomatic cases affected by COVID-19. It is of paramount importance to understand the impact of these infections in order to prevent a second wave. This study aims…

Physics and Society · Physics 2023-11-13 Leonardo Stella , Alejandro Pinel Martínez , Dario Bauso , Patrizio Colaneri

As the global HIV pandemic enters its fourth decade, increasing numbers of surveillance sites have been established which allows countries to look into the epidemics at a finer scale, e.g. at sub-national levels. Currently, the epidemic…

Applications · Statistics 2015-08-27 Le Bao , Xiaoyue Niu , Mary Mahy , Peter D. Ghys

Epidemic models are useful tools in the fight against infectious diseases, as they allow policy makers to test and compare various strategies to limit disease transmission while mitigating collateral damage on the economy. Epidemic models…

Populations and Evolution · Quantitative Biology 2021-08-18 Joseph D. Peterson , Ronojoy Adhikari

In this work, we use a new approach to study the spread of an infectious disease. Indeed, we study a SIR epidemic model with variable infectivity, where the individuals are distributed over a compact subset $D$ of $\R^d$. We define…

Probability · Mathematics 2025-11-18 Armand Kanga , Etienne Pardoux

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

Numerical Analysis · Mathematics 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

Process mining is a discipline sitting between data mining and process science, whose goal is to provide theoretical methods and software tools to analyse process execution data, known as event logs. Although process mining was originally…

Databases · Computer Science 2021-12-13 Adriano Augusto , Timothy Deitz , Noel Faux , Jo-Anne Manski-Nankervis , Daniel Capurro

The current COVID-19 pandemic and subsequent lockdowns have highlighted the close and delicate relationship between a country's public health and economic health. Macroeconomic models that use preexisting epidemic models to calculate the…

Physics and Society · Physics 2020-07-01 Erhan Bayraktar , Asaf Cohen , April Nellis

The epidemiology has recently witnessed great advances based on computational models. Its scope and impact are getting wider thanks to the new data sources feeding analytical frameworks and models. Besides traditional variables considered…

Computers and Society · Computer Science 2023-11-13 David Pastor-Escuredo

Epidemic control is of great importance for human society. Adjusting interacting partners is an effective individualized control strategy. Intuitively, it is done either by shortening the interaction time between susceptible and infected…

Populations and Evolution · Quantitative Biology 2016-12-28 Bin Wu , Shanjun Mao , Jiazeng Wang , Da Zhou

The current global health emergency triggered by the pandemic COVID-19 is one of the greatest challenges mankind face in this generation. Computational simulations have played an important role to predict the development of the current…

Populations and Evolution · Quantitative Biology 2020-06-11 Kok Yew Ng , Meei Mei Gui

Social distancing strategies have been adopted by governments to manage the COVID-19 pandemic, since the first outbreak began. However, further epidemic waves keep out the return of economic and social activities to their standard levels of…

Optimization and Control · Mathematics 2021-06-07 J. E. Sereno , A. D' Jorge , A. Ferramosca , E. A. Hernandez-Vargas , A. H. Gonzalez

Understanding age-group dynamics of infectious diseases is a fundamental issue for both scientific study and policymaking. Age-structure epidemic models were developed in order to study and improve our understanding of these dynamics. By…

Populations and Evolution · Quantitative Biology 2019-11-22 Rami Yaari , Amit Huppert , Itai Dattner

Susceptible-Exposed-Infectious-Recovered (SEIR) models with inter-individual variation in susceptibility or exposure to infection were proposed early in the COVID-19 pandemic as a potential element of the mathematical/statistical toolset…

Applications · Statistics 2025-10-28 Ibrahim Mohammed , Chris Robertson , M. Gabriela M. Gomes

The spreading of virus infection is here simulated over artificial human networks. Here, the real-space urban life of people is modeled as a scale-free network with constraints. A scale-free network has been adopted for modeling on-line…

Physics and Society · Physics 2020-04-30 Yukio Ohsawa

Modern Bayesian approaches and workflows emphasize in how simulation is important in the context of model developing. Simulation can help researchers understand how the model behaves in a controlled setting and can be used to stress the…

We study extensions of the classical SIR model of epidemic spread. First, we consider a single population modified SIR epidemics model in which the contact rate is allowed to be an arbitrary function of the fraction of susceptible and…

Dynamical Systems · Mathematics 2021-12-17 Martina Alutto , Giacomo Como , Fabio Fagnani

Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand disease…

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