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We simulate a spatial behavioral model of the diffusion of an infection to understand the role of geographic characteristics: the number and distribution of outbreaks, population size, density, and agents' movements. We show that several…

综合经济学 · 经济学 2022-01-31 Alberto Bisin , Andrea Moro

Many real networks are embedded in a metric space: the interactions among individuals depend on their spatial distances and usually take place among their nearest neighbors. In this paper, we introduce a modified…

物理与社会 · 物理学 2015-06-26 Xin-Jian Xu , Wen-Xu Wang , Tao Zhou , Guanrong Chen

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

Global sensitivity analysis is used to quantify the influence of uncertain input parameters on the response variability of a numerical model. The common quantitative methods are applicable to computer codes with scalar input variables. This…

应用统计 · 统计学 2008-06-09 Bertrand Iooss , Mathieu Ribatet

Biomechanical models often need to describe very complex systems, organs or diseases, and hence also include a large number of parameters. One of the attractive features of physics-based models is that in those models (most) parameters have…

计算工程、金融与科学 · 计算机科学 2023-01-10 Barbara Wirthl , Sebastian Brandstaeter , Jonas Nitzler , Bernhard A. Schrefler , Wolfgang A. Wall

Our recent experience with the COVID-19 pandemic amply shows that spatial effects like the mobility of agents and average interpersonal distance, together with the adaptation of agents, are very important in deciding the outcome of epidemic…

物理与社会 · 物理学 2025-01-13 Akhil Panicker , V Sasidevan

Compartmental models are widely adopted to describe and predict the spreading of infectious diseases. The unknown parameters of such models need to be estimated from the data. Furthermore, when some of the model variables are not…

物理与社会 · 物理学 2021-01-18 Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

This paper investigates the identifiability of a spatial mathematical model of the spread of fast-moving epidemics based on the law of acting masses and diffusion processes. The research algorithm is based on global methods of Sobol…

最优化与控制 · 数学 2024-12-30 Olga Krivorotko , Tatiana Zvonareva , Andrei Neverov

Over the past two decades there has been a number of global outbreaks of viral diseases. This has accelerated the efforts to model and forecast the disease spreading, in order to find ways to confine the spreading regionally and between…

As the coronavirus disease 2019 (COVID-19) has shown profound effects on public health and the economy worldwide, it becomes crucial to assess the impact on the virus transmission and develop effective strategies to address the challenge. A…

应用统计 · 统计学 2022-05-12 Chih-Li Sung

Global sensitivity analysis (GSA) quantifies the influence of uncertain variables in a mathematical model. The Sobol' indices, a commonly used tool in GSA, seek to do this by attributing to each variable its relative contribution to the…

统计计算 · 统计学 2018-12-19 Joseph Hart , Pierre Gremaud

Individual contributions to the spread of an epidemic vary widely due to an individual's location in a social network and their intrinsic ability to spread or contract diseases. While the effect of heterogeneous population structure and…

种群与进化 · 定量生物学 2026-05-14 Abhay Gupta , Nicholas W. Landry

Infectious disease models can be of great use for understanding the underlying mechanisms that influence the spread of diseases and predicting future disease progression. Modeling has been increasingly used to evaluate the potential impact…

应用统计 · 统计学 2019-08-20 Md Mahsin , Rob Deardon , Patrick Brown

A model of interacting agents, following plausible behavioral rules into a world where the Covid-19 epidemic is affecting the actions of everyone. The model works with (i) infected agents categorized as symptomatic or asymptomatic and (ii)…

多智能体系统 · 计算机科学 2021-08-23 Gianpiero Pescarmona , Pietro Terna , Alberto Acquadro , Paolo Pescarmona , Giuseppe Russo , Emilio Sulis , Stefano Terna

Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

统计方法学 · 统计学 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

Global sensitivity analysis (GSA) is used to quantify the influence of uncertain variables in a mathematical model. Prior to performing GSA, the user must specify (or implicitly assume), a probability distribution to model the uncertainty,…

统计理论 · 数学 2018-11-22 Joseph Hart , Pierre Gremaud

In this paper, I study epidemic diffusion in a generalized spatial SEIRD model, where individuals are initially connected in a social or geographical network. As the virus spreads in the network, the structure of interactions between people…

物理与社会 · 物理学 2020-10-23 Giorgio Fagiolo

The global sensitivity analysis of a complex numerical model often calls for the estimation of variance-based importance measures, named Sobol' indices. Metamodel-based techniques have been developed in order to replace the cpu…

统计计算 · 统计学 2011-04-22 Amandine Marrel , Bertrand Iooss , Michel Jullien , Beatrice Laurent , Elena Volkova

A central feature of an emerging infectious disease in a pandemic scenario is the spread through geographical scales and the impacts on different locations according to the adopted mitigation protocols. We investigated a stochastic epidemic…

物理与社会 · 物理学 2021-01-13 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

Traditionally, the sensitivity analysis of a Bayesian network studies the impact of individually modifying the entries of its conditional probability tables in a one-at-a-time (OAT) fashion. However, this approach fails to give a…

人工智能 · 计算机科学 2024-06-11 Rafael Ballester-Ripoll , Manuele Leonelli
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