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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…

种群与进化 · 定量生物学 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…

统计方法学 · 统计学 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…

种群与进化 · 定量生物学 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…

种群与进化 · 定量生物学 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…

物理与社会 · 物理学 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…

统计方法学 · 统计学 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…

应用统计 · 统计学 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…

定量方法 · 定量生物学 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…

定量方法 · 定量生物学 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…

无序系统与神经网络 · 物理学 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…

物理与社会 · 物理学 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…

偏微分方程分析 · 数学 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…

应用统计 · 统计学 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…

物理与社会 · 物理学 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…

机器学习 · 计算机科学 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…

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…

种群与进化 · 定量生物学 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…

社会与信息网络 · 计算机科学 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…

统计方法学 · 统计学 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.…

医学物理 · 物理学 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu