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The sudden and rapid spread of the COVID_19 pandemic with its terrible consequences has put the management of governments and the various world institutions into a crisis. They have been subjected to a considerable economic effort to be…

Optimization and Control · Mathematics 2024-01-08 Rehana Naz , Andrew Omame , Mariano Torrisi

Optimal intervention design is formulated as a hybrid optimal control problem for multiphase homogeneous epidemiological systems. The system extends a foundational compartmental model through intermediate phases that incorporate…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Tyler Halterman , Ali Pakniyat

COVID-19 is a global epidemic. Till now, there is no remedy for this epidemic. However, isolation and social distancing are seemed to be effective preventive measures to control this pandemic. Therefore, in this paper, an optimization…

Mathematical models are instrumental to forecast the spread of pathogens and to evaluate the effectiveness of non-pharmaceutical measures. A plethora of optimal strategies has been recently developed to minimize either the infected peak…

Dynamical Systems · Mathematics 2021-11-11 J. Sereno , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas , A. H. Gonzalez

After the COVID-19 pandemic, we saw an increase in demand for epidemiological mathematical models. The goal of this work is to study the optimal control for an age-structured model as a strategy of quarantine of infected people, which is…

Optimization and Control · Mathematics 2024-11-04 Nelson L. Santos Junior , João A. M. Gondim

A model-based signal processing framework is proposed for pandemic trend forecasting and control, by using non-pharmaceutical interventions (NPI) at regional and country levels worldwide. The control objective is to prescribe quantifiable…

Optimization and Control · Mathematics 2021-11-23 Reza Sameni

In this paper, an optimal resource allocation framework is proposed for the allocation of critical medical resources among different units during a pandemic. The framework is developed by considering the dynamics of Pandemic, hierarchical…

Systems and Control · Electrical Eng. & Systems 2022-03-14 Shuvrangshu Jana , Rudrashis Majumder , Debasish Ghose

We design and analyze a multi-level game-theoretic model of hierarchical policy interventions for epidemic control, such as those in response to the COVID-19 pandemic. Our model captures the potentially mismatched priorities among a…

Computer Science and Game Theory · Computer Science 2022-08-05 Feiran Jia , Aditya Mate , Zun Li , Shahin Jabbari , Mithun Chakraborty , Milind Tambe , Michael Wellman , Yevgeniy Vorobeychik

We study the effects of switching social contacts as a strategy to control epidemic outbreaks. Connections between susceptible and infective individuals can be broken by either individual, and then reconnected to a randomly chosen member of…

Populations and Evolution · Quantitative Biology 2008-06-12 Sebastian Risau-Gusman , Damian H. Zanette

The way diseases spread through schools, epidemics through countries, and viruses through the Internet is crucial in determining their risk. Although each of these threats has its own characteristics, its underlying network determines the…

Physics and Society · Physics 2011-12-20 Christian M. Schneider , Tamara Mihaljev , Shlomo Havlin , Hans J. Herrmann

Motivated by COVID-19, we develop and analyze a simple stochastic model for a disease spread in human population. We track how the number of infected and critically ill people develops over time in order to estimate the demand that is…

Populations and Evolution · Quantitative Biology 2022-05-10 Jakub Svoboda , Josef Tkadlec , Andreas Pavlogiannis , Krishnendu Chatterjee , Martin A. Nowak

Since the first wave of the COVID-19 pandemic, governments have applied restrictions in order to slow down its spreading. However, creating such policies is hard, especially because the government needs to trade-off the spreading of the…

Machine Learning · Computer Science 2022-05-03 Leonardo Lucio Custode , Giovanni Iacca

The design of routing strategies for traffic-driven epidemic spreading has received increasing attention in recent years. In this paper, we propose an adaptive routing strategy that incorporates topological distance with local epidemic…

Physics and Society · Physics 2018-02-14 Han-Xin Yang , Zhen Wang

Recent wide spreading of Ransomware has created new challenges for cybersecurity over large-scale networks. The densely connected networks can exacerbate the spreading and makes the containment and control of the malware more challenging.…

Systems and Control · Computer Science 2018-10-12 Vladislav Taynitskiy , Elena Gubar , Quanyan Zhu

We present and compare two different optimal control approaches applied to SEIR models in epidemiology, which allow us to obtain some policies for controlling the spread of an epidemic. The first approach uses Dynamic Programming to…

Optimization and Control · Mathematics 2024-05-06 Simone Cacace , Alessio Oliviero

Motivated by the issue of COVID-19 mitigation, in this work we tackle the general problem of optimally controlling an epidemic outbreak of a communicable disease structured by time since exposure, by the aid of two types of control…

Populations and Evolution · Quantitative Biology 2024-05-13 Alberto d'Onofrio , Mimmo Iannelli , Piero Manfredi , Gabriela Marinoschi

The epidemiology of pandemics is classically viewed using geographical and political borders; however, these artificial divisions can result in a misunderstanding of the current epidemiological state within a given region. To improve upon…

Populations and Evolution · Quantitative Biology 2023-11-28 David Lyver , Mihai Nica , Corentin Cot , Giacomo Cacciapaglia , Zahra Mohammadi , Edward W. Thommes , Monica-Gabriela Cojocaru

Importance sampling of target probability distributions belonging to a given convex class is considered. Motivated by previous results, the cost of importance sampling is quantified using the relative entropy of the target with respect to…

Numerical Analysis · Mathematics 2022-12-09 Frédéric Cérou , Patrick Héas , Mathias Rousset

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

Social and Information Networks · Computer Science 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

We consider an SIS-type epidemic process that evolves on a known graph. We assume that a fixed curing budget can be allocated at each instant to the nodes of the graph, towards the objective of minimizing the expected extinction time of the…

Social and Information Networks · Computer Science 2015-10-22 Kimon Drakopoulos , Asuman Ozdaglar , John N. Tsitsiklis