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This article explores mathematical models for understanding the evolution of contagious diseases. The most widely known set of models are the compartmental ones, which are based on a set of differential equations. But these are not the only…

种群与进化 · 定量生物学 2021-12-07 C. O. S. Sorzano

Seasonal variation in environmental variables, and in rates of contact among individuals, are fundamental drivers of infectious disease dynamics. Unlike most periodically-forced physical systems, for which the precise pattern of forcing is…

种群与进化 · 定量生物学 2019-08-09 Irena Papst , David J. D. Earn

This article analyzes the problem of estimating the time until an event occurs, also known as survival modeling. We observe through substantial experiments on large real-world datasets and use-cases that populations are largely…

机器学习 · 计算机科学 2019-05-13 David Hubbard , Benoit Rostykus , Yves Raimond , Tony Jebara

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…

Univariate zero-inflated models are increasingly being used to account for excess zeros in spatio-temporal infectious disease counts. However, the multivariate case is challenging due to the need to account for correlations across space,…

Over the course of the COVID-19 pandemic, Generalised Additive Models (GAMs) have been successfully employed on numerous occasions to obtain vital data-driven insights. In this paper we further substantiate the success story of GAMs,…

We investigate disease spreading on eight empirical data sets of human contacts (mostly proximity networks recording who is close to whom, at what time). We compare three levels of representations of these data sets: temporal networks,…

种群与进化 · 定量生物学 2016-09-14 Petter Holme

To better understand mortality change with age capturing the variability in individuals' rates of aging, we performed comprehensive analysis of statistical properties of a cumulative index of age-associated disorders (deficits), called a…

种群与进化 · 定量生物学 2007-05-23 A. Kulminski , A. Yashin , I. Akushevich , S. Ukraintseva , K. Land , K. Arbeev , K. Manton

This paper studies a distributed continuous-time bi-virus model in which two competing viruses spread over a network consisting of multiple groups of individuals. Limiting behaviors of the network are characterized by analyzing the…

最优化与控制 · 数学 2019-01-04 Ji Liu , Philip E. Pare , Angelia Nedich , Choon Yik Tang , Carolyn L. Beck , Tamer Basar

The primary tool for predicting infectious disease spread and intervention effectiveness is the mass action Susceptible-Infected-Recovered model of Kermack and McKendrick. Its usefulness derives largely from its conceptual and mathematical…

种群与进化 · 定量生物学 2015-09-03 Joel C. Miller , Anja C. Slim , Erik M. Volz

Data describing human interactions often suffer from incomplete sampling of the underlying population. As a consequence, the study of contagion processes using data-driven models can lead to a severe underestimation of the epidemic risk.…

物理与社会 · 物理学 2015-11-19 Mathieu Génois , Christian L. Vestergaard , Ciro Cattuto , Alain Barrat

Social interactions vary in time and appear to be driven by intrinsic mechanisms, which in turn shape the emerging structure of the social network. Large-scale empirical observations of social interaction structure have become possible only…

物理与社会 · 物理学 2015-12-09 Guillaume Laurent , Jari Saramäki , Márton Karsai

The metapopulation framework is adopted in a wide array of disciplines to describe systems of well separated yet connected subpopulations. The subgroups or patches are often represented as nodes in a network whose links represent the…

物理与社会 · 物理学 2013-03-27 Suyu Liu , Andrea Baronchelli , Nicola Perra

We consider the spread of infectious disease through contact networks of Configuration Model type. We assume that the disease spreads through contacts and infected individuals recover into an immune state. We discuss a number of existing…

种群与进化 · 定量生物学 2014-03-11 Joel C Miller , Istvan Z Kiss

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

物理与社会 · 物理学 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

Models of contagion arise broadly both in the biological and social sciences, with applications ranging from the transmission of infectious diseases to the diffusion of innovations and the spread of cultural fads. In this Letter, we…

无序系统与神经网络 · 物理学 2009-11-10 P. S. Dodds , D. J. Watts

In dynamic models of infectious disease transmission, typically various mixing patterns are imposed on the so-called Who-Acquires-Infection-From-Whom matrix (WAIFW). These imposed mixing patterns are based on prior knowledge of age-related…

Social contact matrices are essential tools in infectious disease epidemiology as they quantify close-range human contact patterns which directly drive the transmission of airborne infectious diseases. In this work we propose a Bayesian…

统计方法学 · 统计学 2026-05-11 Shozen Dan , David A. van Dyk , Zhi Ling , Swapnil Mishra , Oliver Ratmann

The accurate estimation of time-varying transmission rates is fundamental for understanding infectious disease dynamics and implementing effective public health interventions. To this end, we propose an improved inverse method for…

种群与进化 · 定量生物学 2025-12-17 Shuanglin Jing , Yuting Huang , Hai-Feng Huo

In this work we present a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Earlier work showed this method to perform well in a simulation study. Here we provide rigorous…

统计理论 · 数学 2007-06-13 David M. Zucker , Malka Gorfine , Li Hsu