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We study how international flights can facilitate the spread of an epidemic to a worldwide scale. We combine an infrastructure network of flight connections with a population density dataset to derive the mobility network, and then we…

Physics and Society · Physics 2021-07-26 Hugo Dolan , Riccardo Rastelli

Maintaining energy balance and economical operation is significant for multi-energy systems such as the energy hub. However, it is usually challenged by the frequently changing and unpredictable uncertainties at different timescales. Under…

Computational Engineering, Finance, and Science · Computer Science 2022-03-03 Jiaxin Cao , Bo Yang , Shanying Zhu , Chi Yung Chung , Xinping Guan

Deterministic compartmental models are predominantly used in the modeling of infectious diseases, though stochastic models are considered more realistic, yet are complicated to estimate due to missing data. In this paper we present a novel…

Computation · Statistics 2022-06-22 Shuying Wang , Stephen G. Walker

${\bf Background:}$ The early growth dynamics of the West African Ebola virus epidemic has been qualitatively different for Guinea, Sierra Leone and Liberia. However, it is important to understand these disparate dynamics as trends of a…

Populations and Evolution · Quantitative Biology 2014-10-21 Maria Kiskowski

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

Data Structures and Algorithms · Computer Science 2023-10-25 Andre Linhares , Chaitanya Swamy

In order to model an epidemic, different approaches can be adopted. Mainly, the deterministic approach and the stochastic one. Recently, a large amount of literature has been published using the two approaches. The aim of this paper is to…

Populations and Evolution · Quantitative Biology 2023-01-30 Mohamed Mehdaoui

Epidemic forecasting has become an integral part of real-time infectious disease outbreak response. While collaborative ensembles composed of statistical and machine learning models have become the norm for real-time forecasting,…

We introduce the class of multistage stochastic optimization problems with a random number of stages. For such problems, we show how to write dynamic programming equations and detail the Stochastic Dual Dynamic Programming algorithm to…

Optimization and Control · Mathematics 2019-07-18 Vincent Guigues

The 2014-2015 Ebola Virus Disease (EVD) epidemic in West Africa was the largest ever recorded, representing a fundamental shift in Ebola epidemiology with unprecedented spatiotemporal complexity. We developed spatial transmission models…

Populations and Evolution · Quantitative Biology 2016-05-26 Jeremy P D'Silva , Marisa C. Eisenberg

Understanding infectious disease spread remains a critical public health challenge, particularly given the interplay between household dynamics and community transmission patterns. Traditional epidemiological models often oversimplify these…

Populations and Evolution · Quantitative Biology 2026-01-21 Houda Yaqine , Christiane Fuchs

Allocation of samples in stratified and/or multistage sampling is one of the central issues of sampling theory. In a survey of a population often the constraints for precision of estimators of subpopulations parameters have to be taken care…

Statistics Theory · Mathematics 2015-03-31 Jacek Wesolowski , Robert Wieczorkowski

Epidemics are inherently stochastic, and stochastic models provide an appropriate way to describe and analyse such phenomena. Given temporal incidence data consisting of, for example, the number of new infections or removals in a given time…

Methodology · Statistics 2024-05-24 Sam A. Whitaker , Andrew Golightly , Colin S. Gillespie , Theodore Kypraios

Since early 2020, the world has been dealing with a raging pandemic outbreak: COVID-19. A year later, vaccines have become accessible, but in limited quantities, so that governments needed to devise a strategy to decide which part of the…

Populations and Evolution · Quantitative Biology 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar

The multi-energy management framework of industrial parks advocates energy conversion and scheduling, which takes full advantage of the compensation and temporal availability of multiple energy. However, how to exploit elastic loads and…

Systems and Control · Electrical Eng. & Systems 2022-05-25 Dafeng Zhu , Bo Yang , Zhaojian Wang , Chengbin Ma , Kai Ma , Shanying Zhu

We study the impact of parameter estimation and state measurement errors on a control framework for optimally mitigating the spread of epidemics. We capture the epidemic spreading process using a susceptible-infected-removed (SIR) epidemic…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Baike She , Lei Xin , Shreyas Sundaram , Philip E. Paré

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

The possibility to analyze, quantify and forecast epidemic outbreaks is fundamental when devising effective disease containment strategies. Policy makers are faced with the intricate task of drafting realistically implementable policies…

Social and Information Networks · Computer Science 2015-04-07 Antonio Lima , Veljko Pejovic , Luca Rossi , Mirco Musolesi , Marta Gonzalez

Mathematical modeling of disease outbreaks can infer the future trajectory of an epidemic, which can inform policy decisions. Another task is inferring the origin of a disease, which is relatively difficult with current mathematical models.…

Physics and Society · Physics 2022-08-31 Mehrad Ansari , David Soriano-Paños , Gourab Ghoshal , Andrew D. White

Epidemic risk assessment poses inherent challenges, with traditional approaches often failing to balance health outcomes and economic constraints. This paper presents a data-driven decision support tool that models epidemiological dynamics…

Applications · Statistics 2025-11-24 Chang Zhai , Ping Chen , Zhuo Jin , David Pitt

In this paper, we introduce a novel approach for optimal resource allocation with frequency reuse for users with elastic and inelastic traffic in cellular networks. In our model, we represent users' applications running on different user…

Networking and Internet Architecture · Computer Science 2016-10-25 Ahmed Abdelhadi , T. Charles Clancy