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We investigate the time evolution of disease spread on a network by using the concept of generations. We derive a set of equations, which can be used to determine the average epidemic size. We find a very good agreement between the…

Statistical Mechanics · Physics 2010-05-24 B. Davoudi , F. Brauer , B. Pourbohloul

We define data analyses to monitor a change in R, the average number of secondary cases caused by a typical infected individual. The input dataset consists of incident cases partitioned into outbreaks, each initiated from a single index…

Populations and Evolution · Quantitative Biology 2016-04-27 Pavel Polyakov , Romulus Breban

Forecasting transmission of infectious diseases, especially for vector-borne diseases, poses unique challenges for researchers. Behaviors of and interactions between viruses, vectors, hosts, and the environment each play a part in…

Applications · Statistics 2020-06-02 Stephen A Lauer , Alexandria C Brown , Nicholas G Reich

Real epidemic spreading networks often composed of several kinds of networks interconnected with each other, and the interrelated networks have the different topologies and epidemic dynamics. Moreover, most human diseases are derived from…

Physics and Society · Physics 2017-06-21 Zhongpu Xu , Xinchu Fu

Networks have become an important tool for infectious disease epidemiology. Most previous theoretical studies of transmission network models have either considered simple Markovian dynamics at the individual level, or have focused on the…

Populations and Evolution · Quantitative Biology 2015-04-21 Lorenzo Pellis , Simon E. F. Spencer , Thomas House

Background: Recently developed techniques to study the spread of infectious diseases through networks make assumptions that the initial proportion infected is infinitesimal and the population behavior is static throughout the epidemic. The…

Populations and Evolution · Quantitative Biology 2012-08-17 Joel C. Miller

Many existing techniques provide automatic estimation of crop damage due to various diseases. However, early detection can prevent or reduce the extend of damage itself. The limited performance of existing techniques in early detection is…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 M. Hammad Masood , Habiba Saim , Murtaza Taj , Mian M. Awais

We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

Populations and Evolution · Quantitative Biology 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

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

We consider a stochastic model of infection spread on the complete graph on $N$ vertices incorporating dynamic partnerships, which we assume to be monogamous. This can be seen as a variation on the contact process in which some form of edge…

Probability · Mathematics 2016-06-23 Eric Foxall , Roderick Edwards , P. van den Driessche

A standard model for epidemics is the SIR model on a graph. We introduce a simple algorithm that uses the early infection times from a sample path of the SIR model to estimate the parameters this model, and we provide a performance…

Information Theory · Computer Science 2020-08-11 Charles Clum , Dustin G. Mixon

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

Artificial Intelligence · Computer Science 2015-03-13 Yoshiharu Maeno

This study proposes a nonhomogeneous birth--death model which captures the dynamics of a directly transmitted infectious disease. Our model accounts for an important aspect of observed epidemic data in which only symptomatic infecteds are…

Applications · Statistics 2016-09-09 Jan van den Broek , Hiroshi Nishiura

The main aim of the work is to present a general class of two time scales discrete-time epidemic models. In the proposed framework the disease dynamics is considered to act on a slower time scale than a second different process that could…

Dynamical Systems · Mathematics 2024-02-07 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

We investigate the problem of estimating the distribution of the individual reproduction number governing the COVID-19 pandemic. Under the assumption that this random variable follows a Negative Binomial distribution, we focus on…

Applications · Statistics 2021-01-21 Alexander Braumann , Jonas Krampe , Jens-Peter Kreiss , Efstathios Paparoditis

Capturing the structure of a population and characterising contacts within the population are key to reliable projections of infectious disease. Two main elements of population structure -- contact heterogeneity and age -- have been…

Physics and Society · Physics 2025-03-17 Luke Murray Kearney , Emma L. Davis , Matt J. Keeling

A wide range of infectious diseases are both vertically and horizontally transmitted. Such diseases are spatially transmitted via multiple species in heterogeneous environments, typically described by complex meta-population models. The…

Populations and Evolution · Quantitative Biology 2013-03-05 Ling Xue , Caterina Scoglio

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

Nowcasting and forecasting of epidemic spreading rely on incidence series of reported cases to derive the fundamental epidemiological parameters for a given pathogen. Two relevant drawbacks for predictions are the unknown fractions of…

Populations and Evolution · Quantitative Biology 2022-08-31 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

In times of outbreaks, an essential requirement for better monitoring is the evaluation of the number of undiagnosed infected individuals. An accurate estimate of this fraction is crucial for the assessment of the situation and the…

Populations and Evolution · Quantitative Biology 2021-03-17 Akiva B. Melka , Yoram Louzoun