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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

The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even…

Physics and Society · Physics 2016-11-09 Helena Sofia Rodrigues

Compartmental models are widely adopted to describe and predict the spreading of infectious diseases. The unknown parameters of such models need to be estimated from the data. Furthermore, when some of the model variables are not…

Physics and Society · Physics 2021-01-18 Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

The aim of the paper is to describe two models of Covid-19 infection dynamics. For this purpose a special class of branching processes with two types of individuals is considered. These models are intended to use only the observed daily…

Populations and Evolution · Quantitative Biology 2020-05-05 Nikolay M. Yanev , Vessela K. Stoimenova , Dimitar V. Atanasov

In this work, we review the figures used to characterize an epidemic outbreak most. Particular attention is drawn to epidemic spreading at time-varying transition rates. A time-varying SIR-like model is used to describe the epidemic…

Populations and Evolution · Quantitative Biology 2020-11-06 Hernán De Battista , José García-Clúa , Sebastián Nuñez , Fernando Inthamoussou , Fabricio Garelli

Coronavirus outbreak is one of the most challenging pandemics for the entire human population of the planet Earth. Techniques such as the isolation of infected persons and maintaining social distancing are the only preventive measures…

Social and Information Networks · Computer Science 2020-09-01 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

When controlling an emerging outbreak of an infectious disease it is essential to know the key epidemiological parameters, such as the basic reproduction number $R_0$ and the control effort required to prevent a large outbreak. These…

Populations and Evolution · Quantitative Biology 2016-04-18 Pieter Trapman , Frank Ball , Jean-Stéphane Dhersin , Viet Chi Tran , Jacco Wallinga , Tom Britton

One of the most significant challenges in combating against the spread of infectious diseases was the difficulty in estimating the true magnitude of infections. Unreported infections could drive up disease spread, making it very hard to…

Social and Information Networks · Computer Science 2025-02-04 Jiaming Cui , Bijaya Adhikari , Arash Haddadan , A S M Ahsan-Ul Haque , Jilles Vreeken , Anil Vullikanti , B. Aditya Prakash

Many models in mathematical epidemiology are developed with the aim to provide a framework for parameter estimation and then prediction. It is well-known that parameters are not always uniquely identifiable. In this paper we consider…

Dynamical Systems · Mathematics 2022-08-17 István Zoltán Kiss , Péter L. Simon

Causal identification of treatment effects for infectious disease outcomes in interconnected populations is challenging because infection outcomes may be transmissible to others, and treatment given to one individual may affect others'…

Methodology · Statistics 2021-05-11 Xiaoxuan Cai , Eben Kenah , Forrest W. Crawford

When an infectious disease strikes a population, the number of newly reported cases is often the only available information that one can obtain during early stages of the outbreak. An important goal of early outbreak analysis is to obtain a…

Quantitative Methods · Quantitative Biology 2013-05-30 Bahman Davoudi , Babak Pourbohloul , Joel Miller , Rafael Meza , Lauren Ancel Meyers , David J. D. Earn

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

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

The recent coronavirus disease (COVID-19) outbreak has dramatically increased the public awareness and appreciation of the utility of dynamic models. At the same time, the dissemination of contradictory model predictions has highlighted…

Populations and Evolution · Quantitative Biology 2020-06-26 Gemma Massonis , Julio R. Banga , Alejandro F. Villaverde

Phenomenological and deterministic models are often used for the estimation of transmission parameters in an epidemic and for the prediction of its growth trajectory. Such analyses are usually based on single peak outbreak dynamics. In…

Populations and Evolution · Quantitative Biology 2022-01-20 D. P. Mahapatra , S. Triambak

For the description of a pandemic mathematical models could be interesting. Both for physicians and politicians as a base for decisions to treat the disease. The responsible estimation of parameters is a main issue of mathematical pandemic…

Populations and Evolution · Quantitative Biology 2020-04-15 Günter Bärwolff

Age-dependent dynamics is an important characteristic of many infectious diseases. Age-group epidemic models describe the infection dynamics in different age-groups by allowing to set distinct parameter values for each. However, such models…

Methodology · Statistics 2017-07-17 Rami Yaari , Itai Dattner , Amit Huppert

Epidemic models describe the evolution of a communicable disease over time. These models are often modified to include the effects of interventions (control measures) such as vaccination, social distancing, school closings etc. Many such…

Methodology · Statistics 2026-01-27 Heejong Bong , Valérie Ventura , Larry Wasserman

Knowing the infection fatality ratio (IFR) is of crucial importance for evidence-based epidemic management: for immediate planning; for balancing the life years saved against the life years lost due to the consequences of management; and…

Quantitative Methods · Quantitative Biology 2020-08-11 Simon N. Wood , Ernst C. Wit , Matteo Fasiolo , Peter J. Green

As Europe is facing the second wave of the CoViD-19 pandemic, each country should carefully review how it dealt with the first wave of outbreak. Lessons from the first experience should be useful to avoid indiscriminate closures and, above…

Populations and Evolution · Quantitative Biology 2021-02-10 Stefano De Leo , Manoel P. Araujo