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The dynamics of close relationships is important for understanding the migration patterns of individual life-courses. The bottom-up approach to this subject by social scientists has been limited by sample size, while the more recent…

物理与社会 · 物理学 2014-11-12 Hang-Hyun Jo , Jari Saramäki , Robin I. M. Dunbar , Kimmo Kaski

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

系统与控制 · 电气工程与系统科学 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

Since 1927, until recently, models describing the spread of disease have mostly been of the SIR-compartmental type, based on the assumption that populations are homogeneous and well-mixed. The focus of these models have typically been on…

物理与社会 · 物理学 2014-07-23 Lara Goscé , David A W Barton , Anders Johansson

We derive key features of the Age-of-Information distribution in a system whose activities are strictly limited to periodic instances on a global time grid. In particular, one agent periodically generates updates while the other agent…

系统与控制 · 电气工程与系统科学 2022-07-13 R. Schoeffauer , G. Wunder

We study an optimal control problem where the objective is to find the best vaccine allocation during an epidemic outbreak. The epidemic dynamics is described by an age-structured SIR model with nonlocal interactions. Both the infection and…

最优化与控制 · 数学 2026-05-19 Luís Almeida , Romain Ducasse , Elisa Paparelli

The adult sex ratio (ASR) is defined as the number of fertile males divided by the number of fertile females in a population. We build an ODE model with minimal age structure, in which males compete for paternities using either a…

动力系统 · 数学 2019-07-01 D. Rose , K. Hawkes , P. S. Kim

We propose a novel framework for analyzing the dynamics of distribution shift in real-world systems that captures the feedback loop between learning algorithms and the distributions on which they are deployed. Prior work largely models…

机器学习 · 计算机科学 2023-10-31 Lauren Conger , Franca Hoffmann , Eric Mazumdar , Lillian Ratliff

Epidemiological models increasingly rely on self-reported behavioral data such as vaccination status, mask usage, and social distancing adherence to forecast disease transmission and assess the impact of non-pharmaceutical interventions…

计算机科学与博弈论 · 计算机科学 2026-02-24 Yiqi Su , Christo Kurisummoottil Thomas , Walid Saad , Bud Mishra , Naren Ramakrishnan

This paper is concerned with an age-structured model in population dynamics. We investigate the uniqueness of solution for this type of nonlinear reaction-diffusion problem when the source term depends on the density, indicating the…

偏微分方程分析 · 数学 2018-06-12 Vo Anh Khoa , Tran The Hung , Daniel Lesnic

Acute respiratory diseases are transmitted over networks of social contacts. Large-scale simulation models are used to predict epidemic dynamics and evaluate the impact of various interventions, but the contact behavior in these models is…

应用统计 · 统计学 2012-08-27 Gail E. Potter , Mark S. Handcock , Ira M. Longini, , M. Elizabeth Halloran

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

物理与社会 · 物理学 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

This paper develops an individual-based stochastic network SIR model for the empirical analysis of the Covid-19 pandemic. It derives moment conditions for the number of infected and active cases for single as well as multigroup epidemic…

计量经济学 · 经济学 2022-01-05 M. Hashem Pesaran , Cynthia Fan Yang

Modeling of dynamic networks -- networks that evolve over time -- has manifold applications in many fields. In epidemiology in particular, there is a need for data-driven modeling of human sexual relationship networks for the purpose of…

统计方法学 · 统计学 2022-03-15 Pavel N. Krivitsky

We describe how to generate a heterosexual network with a prescribed joint-degree distribution that is embedded in a prescribed large-scale social contact network. The structure of a sexual network plays an important role in how sexually…

定量方法 · 定量生物学 2021-04-19 Asma Azizi , Zhuolin Qu , Bryan Lewis , James Mac Hyman

This paper presents a discrete-event stochastic model for the redistribution of indistinguishable personal items, exemplified by socks, among multiple cohabitants sharing a communal laundry system. Drawing on concepts from ecological…

物理与社会 · 物理学 2025-11-05 Syed Haseeb Shah

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

种群与进化 · 定量生物学 2021-02-09 Luis E C Rocha , Naoki Masuda

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

The objective is to model longitudinal and survival data jointly taking into account the dependence between the two responses in a real HIV/AIDS dataset using a shared parameter approach inside a Bayesian framework. We propose a linear…

应用统计 · 统计学 2016-05-02 Rui Martins

Two crucial elements facilitate the understanding and control of communicable disease spread within a social setting. These components are, the underlying contact structure among individuals that determines the pattern of disease…

种群与进化 · 定量生物学 2013-05-29 Pierre-Andre Noel , Bahman Davoudi , Louis J. Dube , Robert C. Brunham , Babak Pourbohloul

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

统计力学 · 物理学 2009-11-07 M. E. J. Newman