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Wastewater-based epidemiology (WBE) is a fast emerging method for passively monitoring diseases in a population. By measuring the concentrations of pathogenic materials in wastewater, WBE negates demographic biases in clinical testing and…

Populations and Evolution · Quantitative Biology 2025-06-18 Anthony J Wood , Jessica Enright , Aeron R Sanchez , Ewan Colman , Rowland R Kao

This lecture note provides a self-contained introduction to Bayesian inference and Markov Chain Monte Carlo (MCMC) methods for parameter estimation in epidemic models. Using the classical Susceptible-Infectious-Recovered (SIR) compartmental…

Methodology · Statistics 2026-03-18 Augustine Okolie

In the present paper, our goal is to establish a framework for the mathematical modelling and the analysis of the spread of an epidemic in a large population commuting regularly, typically along a time-periodic pattern, as is roughly…

Populations and Evolution · Quantitative Biology 2024-08-29 Pierre-Alexandre Bliman , Boureima Sangaré , Assane Savadogo

We examine how spatial heterogeneity combines with mobility network structure to influence vector-borne disease dynamics. Specifically, we consider a Ross-Macdonald-type disease model on $n$ spatial locations that are coupled by host…

Populations and Evolution · Quantitative Biology 2022-04-22 Omar Saucedo , Joseph H. Tien

Despite the advanced stage of epidemic modeling, there is a major demand for methods to incorporate behavioral responses to the spread of a disease such as social distancing and adoption of prevention methods. Mobility plays an important…

Physics and Society · Physics 2022-03-14 Paulo Cesar Ventura , Alberto Aleta , Francisco A. Rodrigues , Yamir Moreno

We introduce a new method for inference in stochastic epidemic models which uses recursive multinomial approximations to integrate over unobserved variables and thus circumvent likelihood intractability. The method is applicable to a class…

Methodology · Statistics 2021-02-24 Nick Whiteley , Lorenzo Rimella

A stochastic epidemic model is defined in which each individual belongs to a household, a secondary grouping (typically school or workplace) and also the community as a whole. Moreover, infectious contacts take place in these three settings…

Applications · Statistics 2009-08-17 Tom Britton , Theodore Kypraios , Philip O'Neill

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

Quantitative Methods · Quantitative Biology 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

Recent work has focused attention on statistical inference for the population distribution of the number of sexual partners based on survey data. The characteristics of these distributions are of interest as components of mathematical…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mark S. Handcock , James Holland Jones , Martina Morris

Contacts between individuals play an important role in determining how infectious diseases spread. Various methods to gather data on such contacts co-exist, from surveys to wearable sensors. Comparisons of data obtained by different methods…

Physics and Society · Physics 2016-04-18 Julie Fournet , Alain Barrat

In this paper we study a mathematical model for an infectious disease such as Cholera without life-time immunity. Due to the different mobility for susceptible, infected human and recovered human hosts, the diffusion coefficients are…

Analysis of PDEs · Mathematics 2020-11-18 Hong-Ming Yin

Despite the recent development of methods dealing with partially observed epidemic dynamics (unobserved model coordinates, discrete and noisy outbreak data), limitations remain in practice, mainly related to the quantity of augmented data…

Applications · Statistics 2021-07-26 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

Physics and Society · Physics 2018-05-09 Clara Granell , Peter J. Mucha

Scientific modeling applications often require estimating a distribution of parameters consistent with a dataset of observations - an inference task also known as source distribution estimation. This problem can be ill-posed, however, since…

Machine Learning · Computer Science 2024-12-02 Julius Vetter , Guy Moss , Cornelius Schröder , Richard Gao , Jakob H. Macke

Effective intervention strategies for epidemics rely on the identification of their origin and on the robustness of the predictions made by network disease models. We introduce a Bayesian uncertainty quantification framework to infer model…

Populations and Evolution · Quantitative Biology 2020-04-02 Karen Larson , Clark Bowman , Zhizhong Chen , Panagiotis Hadjidoukas , Costas Papadimitriou , Petros Koumoutsakos , Anastasios Matzavinos

Vector-borne diseases arise from the coupled dynamics of human mobility and mosquito ecology, producing outbreaks shaped by both spatial distributions and temporal patterns of movement. Here we develop a coarse-grained hub--leaf reduction…

Populations and Evolution · Quantitative Biology 2025-08-29 Bibandhan Poudyal , Gourab Ghoshal

We present a general framework for adaptive allocation of viral tests in social contact networks. We pose and solve several complementary problems. First, we consider the design of a social sensing system whose objective is the early…

Social and Information Networks · Computer Science 2020-11-05 Pau Batlle , Joan Bruna , Carlos Fernandez-Granda , Victor M. Preciado

The estimation from available data of parameters governing epidemics is a major challenge. In addition to usual issues (data often incomplete and noisy), epidemics of the same nature may be observed in several places or over different…

Methodology · Statistics 2021-09-20 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

Medical Physics · Physics 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu