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Approximating the time to extinction of infection is an important problem in infection modelling. A variety of different approaches have been proposed in the literature. We study the performance of a number of such methods, and characterize…

概率论 · 数学 2017-07-11 Damian Clancy , Elliott Tjia

A generalization of the standard susceptible-infectious-removed (SIR) stochastic model for epidemics in sparse random networks is introduced which incorporates contact tracing in addition to random screening. We propose a deterministic…

适应与自组织系统 · 物理学 2009-11-07 Ramon Huerta , Lev S. Tsimring

We study the problem of containing epidemic spreading processes in temporal networks. We specifically focus on the problem of finding a resource allocation to suppress epidemic infection, provided that an empirical time-series data of…

社会与信息网络 · 计算机科学 2019-04-16 Masaki Ogura , Junichi Harada

After the introduction of drastic containment measures aimed at stopping the epidemic contagion from SARS-CoV2, many governments have adopted a strategy based on a periodic relaxation of such measures in the face of a severe economic crisis…

种群与进化 · 定量生物学 2021-06-10 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Coronavirus COVID-19 spreads through the population mostly based on social contact. To gauge the potential for widespread contagion, to cope with associated uncertainty and to inform its mitigation, more accurate and robust modelling is…

We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly mixing, and a local level with two layers distinguishing household and workplace contacts, respectively. We establish the large population…

概率论 · 数学 2023-10-27 Madeleine Kubasch

We investigate adaptive strategies to robustly and optimally control the COVID-19 pandemic via social distancing measures based on the example of Germany. Our goal is to minimize the number of fatalities over the course of two years without…

种群与进化 · 定量生物学 2021-02-09 Johannes Köhler , Lukas Schwenkel , Anne Koch , Julian Berberich , Patricia Pauli , Frank Allgöwer

Stochastic epidemic models which incorporate interactions between space and human mobility are a key tool to inform prioritisation of outbreak control to appropriate locations. However, methods for fitting such models to national-level…

We consider a behavioral-feedback SIR epidemic model, in which the infection rate depends in feedback on the fractions of susceptible and infected agents, respectively. The considered model allows one to account for endogenous adaptation…

系统与控制 · 电气工程与系统科学 2026-02-11 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Francesca Parise

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

社会与信息网络 · 计算机科学 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

Model predictive control (MPC) has become the most widely used advanced control method in process industry. In many cases, forecasts of the disturbances are available, e.g., predicted renewable power generation based on weather forecast.…

系统与控制 · 电气工程与系统科学 2022-06-08 Ryan McCloy , Lai Wei , Jie Bao

Motivated by the swift global transmission of infectious diseases, we present a comprehensive framework for network-based epidemic control. Our aim is to curb epidemics using two different approaches. In the first approach, we introduce an…

系统与控制 · 电气工程与系统科学 2026-04-16 Mahtab Talaei , Apostolos I. Rikos , Alex Olshevsky , Laura F. White , Ioannis Ch. Paschalidis

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

系统与控制 · 计算机科学 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

In this paper, we present a discrete-time networked SEIR model using population flow, its derivation, and assumptions under which this model is well defined. We identify properties of the system's equilibria, namely the healthy states. We…

系统与控制 · 电气工程与系统科学 2021-04-16 Brooks Butler , Ciyuan Zhang , Ian Walter , Nishant Nair , Raphael Stern , Philip E. Paré

The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

物理与社会 · 物理学 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

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…

种群与进化 · 定量生物学 2026-01-21 Houda Yaqine , Christiane Fuchs

In this work, a composite economic model predictive control (CEMPC) is proposed for the optimal operation of a stand-alone integrated energy system (IES). Time-scale multiplicity exists in IESs dynamics is taken into account and addressed…

系统与控制 · 电气工程与系统科学 2022-05-24 Long Wu , Xunyuan Yin , Lei Pan , Jinfeng Liu

Stochastic optimal control problems have a long tradition in applied probability, with the questions addressed being of high relevance in a multitude of fields. Even though theoretical solutions are well understood in many scenarios, their…

统计理论 · 数学 2024-05-28 Sören Christensen , Claudia Strauch , Lukas Trottner

Model Predictive Control (MPC) is a widely known control method that has proved to be particularly effective in multivariable and constrained control. Closed-loop stability and recursive feasibility can be guaranteed by employing accurate…

系统与控制 · 电气工程与系统科学 2025-02-05 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

系统与控制 · 电气工程与系统科学 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold