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Evidence-based knowledge of infectious disease burden, including prevalence, incidence, severity and transmission, in different population strata and locations, and possibly in real time, is crucial to the planning and evaluation of public…

Methodology · Statistics 2018-08-14 Daniela De Angelis , Anne M. Presanis

This paper aims to extend the Besag model, a widely used Bayesian spatial model in disease mapping, to a non-stationary spatial model for irregular lattice-type data. The goal is to improve the model's ability to capture complex spatial…

Methodology · Statistics 2023-07-03 Esmail Abdul Fattah , Elias Krainski , Janet van Niekerk , Håvard Rue

This paper proposes a data-driven approximate Bayesian computation framework for parameter estimation and uncertainty quantification of epidemic models, which incorporates two novelties: (i) the identification of the initial conditions by…

Applications · Statistics 2023-06-28 Americo Cunha , David A. W. Barton , Thiago G. Ritto

Epidemic models often reflect characteristic features of infectious spreading processes by coupled non-linear differential equations considering different states of health (such as Susceptible, Infected, or Recovered). This compartmental…

Physics and Society · Physics 2021-12-01 Vaiva Vasiliauskaite , Nino Antulov-Fantulin , Dirk Helbing

Epidemics of communicable diseases place a huge burden on public health infrastructures across the world. Producing accurate and actionable forecasts of infectious disease incidence at short and long time scales will improve public health…

Multiple instances of Zika virus epidemic have been reported around the world in the last two decades, turning the related illness into an international concern. In this context the use of mathematical models for epidemics is of great…

Populations and Evolution · Quantitative Biology 2021-05-14 Eber Dantas , Michel Tosin , Americo Cunha

Our paper investigates distributions of exposed and infectious time periods in an epidemic model and how applying a disease control strategy affects the model's accuracy. While ordinary differential equations are widely used for their…

Populations and Evolution · Quantitative Biology 2018-09-28 Adrienna Bingham , Leah B. Shaw

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

We present a modified \emph{susceptible-infected-susceptible} (SIS) model on complex networks, small-world and scale-free, to study epidemic spreading with the effect of time delay which is introduced to the infected phase. Considering the…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Hai-Ou Peng , Xiao-Mei Wang , Ying-Hai Wang

The recurrent thread of dengue incidence in Sri Lanka is still abundant and it creates a huge burden to the country. Hence, the National Dengue Control Unit of Sri Lanka propose a national action plan to prevent and control the dengue…

Applications · Statistics 2021-12-03 L. S. Madushani , Thiyanga S. Talagala

Cure models in survival analysis deal with populations in which a part of the individuals cannot experience the event of interest. Mixture cure models consider the target population as a mixture of susceptible and non-susceptible…

Computation · Statistics 2018-06-26 Elena Lázaro , Carmen Armero , Virgilio Gómez-Rubio

The new corona virus disease -- COVID-2019 -- is rapidly spreading through the world. The availability of unbiased timely statistics of trends in disease events are a key to effective responses. But due to reporting delays, the most…

Populations and Evolution · Quantitative Biology 2020-06-15 Adam Altmejd , Joacim Rocklöv , Jonas Wallin

Dengue transmission is rapidly expanding beyond its historical tropical range, raising concerns about how climate change may alter the collective dynamics of epidemics. While most studies focus on transmission risk, much less is known about…

Physics and Society · Physics 2026-05-11 Enrique C. Gabrick , Antonio M. Batista , Iberê L. Caldas , Jürgen Kurths , Maíra Aguiar

The performance of data-driven prediction models depends on the availability of data samples for model training. A model that learns about dengue fever incidence in a population uses historical data from that corresponding location. Poor…

Machine Learning · Computer Science 2021-04-22 Tanvir Ferdousi , Lee W. Cohnstaedt , Caterina M. Scoglio

Epidemic forecasts are only as good as the accuracy of epidemic measurements. Is epidemic data, particularly COVID-19 epidemic data, clean and devoid of noise? Common sense implies the negative answer. While we cannot evaluate the…

Populations and Evolution · Quantitative Biology 2023-04-25 Long MA , Piet Van Mieghem , Maksim Kitsak

Various computational challenges arise when applying Bayesian inference approaches to complex hierarchical models. Sampling-based inference methods, such as Markov Chain Monte Carlo strategies, are renowned for providing accurate results…

Methodology · Statistics 2022-03-29 Cristian Chiuchiolo , Janet van Niekerk , Håvard Rue

Parameter estimation and associated uncertainty quantification is an important problem in dynamical systems characterized by ordinary differential equation (ODE) models that are often nonlinear. Typically, such models have analytically…

Computation · Statistics 2024-03-26 Wai Meng Kwok , Sarat Chandra Dass , George Streftaris

Fitting cross-classified multilevel models with binary response is challenging. In this setting a promising method is Bayesian inference through Integrated Nested Laplace Approximations (INLA), which performs well in several latent variable…

Computation · Statistics 2016-07-21 Leonardo Grilli , Francesco Innocenti

Early, reliable detection of disease outbreaks is a critical problem today. This paper reports an investigation of the use of causal Bayesian networks to model spatio-temporal patterns of a non-contagious disease (respiratory anthrax…

Applications · Statistics 2012-07-19 Gregory F. Cooper , Denver Dash , John Levander , Weng-Keen Wong , William Hogan , Michael Wagner

The integrated nested Laplace approximation (INLA) for Bayesian inference is an efficient approach to estimate the posterior marginal distributions of the parameters and latent effects of Bayesian hierarchical models that can be expressed…

Computation · Statistics 2019-11-05 Virgilio Gómez-Rubio , Roger S. Bivand , Håvard Rue