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As global living standards improve and medical technology advances, many infectious diseases have been effectively controlled. However, certain diseases, such as the recent COVID-19 pandemic, continue to pose significant threats to public…

Numerical Analysis · Mathematics 2025-02-24 Ayesha Baig , Li Zhouxin

Count-valued autoregressions are widely used to analyse time-series of reported infectious-disease cases because of their close connection with discrete-time transmission models. However, when such models are applied directly to…

Applications · Statistics 2025-09-16 Justin J. Slater , Sindi Bebeziqi

This paper investigates various ways in which a pandemic such as the novel coronavirus, could be predicted using different mathematical models. It also studies the various ways in which these models could be depicted using various…

General Economics · Economics 2021-02-16 Shailesh Bharati , Rahul Batra

We study the spread of susceptible-infected-recovered (SIR) infectious diseases where an individual's infectiousness and probability of recovery depend on his/her "age" of infection. We focus first on early outbreak stages when stochastic…

Populations and Evolution · Quantitative Biology 2009-05-14 Joel Miller , Bahman Davoudi , Rafael Meza , Anja Slim , Babak Pourbohloul

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

Infectious diseases are a significant threat to human society which was over sighted before the incidence of COVID-19, although according to the report of the World Health Organisation (WHO) about 4.2 million people die annually due to…

Physics and Society · Physics 2021-02-05 Md Shahzamal , Saeed Khan

Infectious disease surveillance is of great importance for the prevention of major outbreaks. Syndromic surveillance aims at developing algorithms which can detect outbreaks as early as possible by monitoring data sources which allow to…

Machine Learning · Computer Science 2021-02-01 Moritz Kulessa , Eneldo Loza Mencía , Johannes Fürnkranz

Epidemic spread in a population is traditionally modeled via compartmentalized models which represent the free evolution of disease in absence of any intervention policies. In addition, these models assume full observability of disease…

Populations and Evolution · Quantitative Biology 2021-06-16 Nitin Kamra , Yizhou Zhang , Sirisha Rambhatla , Chuizheng Meng , Yan Liu

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

We propose, implement, and evaluate a method to estimate the daily number of new symptomatic COVID-19 infections, at the level of individual U.S. counties, by deconvolving daily reported COVID-19 case counts using an estimated…

Applications · Statistics 2022-03-01 Maria Jahja , Andrew Chin , Ryan J. Tibshirani

Infectious disease modeling and forecasting have played a key role in helping assess and respond to epidemics and pandemics. Recent work has leveraged data on disease peak infection and peak hospital incidence to fit compartmental models…

We propose a new model that describes the dynamics of epidemic spreading on connected graphs. Our model consists in a PDE-ODE system where at each vertex of the graph we have a standard SIR model and connexions between vertices are given by…

Analysis of PDEs · Mathematics 2020-11-25 Christophe Besse , Grégory Faye

Incidence vs Cumulative Cases (ICC) curves are introduced and shown to provide a simple framework for parameter identification in the case of the most elementary epidemiological model, consisting of susceptible, infected, and removed…

Populations and Evolution · Quantitative Biology 2021-04-14 Joceline Lega

The COVID-19 pandemic provides new motivation for a classic problem in epidemiology: estimating the empirical rate of transmission during an outbreak (formally, the time-varying reproduction number) from case counts. While standard methods…

Methodology · Statistics 2020-12-08 Bryan Wilder , Michael J. Mina , Milind Tambe

The spread of an undesirable contact process, such as an infectious disease (e.g. COVID-19), is contained through testing and isolation of infected nodes. The temporal and spatial evolution of the process (along with containment through…

Machine Learning · Computer Science 2023-03-24 Xingran Chen , Hesam Nikpey , Jungyeol Kim , Saswati Sarkar , Shirin Saeedi-Bidokhti

In epidemic or pandemic situations, resources for testing the infection status of individuals may be scarce. Although group testing can help to significantly increase testing capabilities, the (repeated) testing of entire populations can…

Populations and Evolution · Quantitative Biology 2021-10-29 Günther Koliander , Georg Pichler

A rumor spreading in a social network or a disease propagating in a community can be modeled as an infection spreading in a network. Finding the infection source is a challenging problem, which is made more difficult in many applications…

Social and Information Networks · Computer Science 2014-04-08 Wuqiong Luo , Wee Peng Tay , Mei Leng

Infectious diseases are caused by pathogenic microorganisms and can spread through different ways. Mathematical models and computational simulation have been used extensively to investigate the transmission and spread of infectious…

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 role of direct cell-to-cell spread in viral infections - where virions spread between host and susceptible cells without needing to be secreted into the extracellular environment - has come to be understood as essential to the dynamics…

Quantitative Methods · Quantitative Biology 2024-05-21 Thomas Williams , James M. McCaw , James Osborne