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In this paper, co-states are used to develop a framework that desensitizes the optimal cost. A general formulation for an optimal control problem with fixed final time is considered. The proposed scheme involves elevating the parameters of…

最优化与控制 · 数学 2019-10-02 Venkata Ramana Makkapati , Dipankar Maity , Mehregan Dor , Panagiotis Tsiotras

In the context of the ongoing Covid-19 pandemic, several reports and studies have attempted to model and predict the spread of the disease. There is also intense debate about policies for limiting the damage, both to health and to the…

物理与社会 · 物理学 2020-05-04 Harshad Khadilkar , Tanuja Ganu , Deva P Seetharam

In this work, we investigate a VS-EIAR epidemiological model that incorporates vaccinated individuals $\{V_i : i = 1, \ldots, n\}$, where $n \in \mathbb{N}^{*}$. The dynamics of the VS-EIAR model are governed by a system of ordinary…

动力系统 · 数学 2025-07-16 Mamadou Abdoul Diop , Mohammed Elghandouri , Khalil Ezzinbi

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…

应用统计 · 统计学 2025-11-24 Chang Zhai , Ping Chen , Zhuo Jin , David Pitt

We demonstrate the ability of statistical data assimilation to identify the measurements required for accurate state and parameter estimation in an epidemiological model for the novel coronavirus disease COVID-19. Our context is an effort…

种群与进化 · 定量生物学 2020-08-04 Eve Armstrong , Manuela Runge , Jaline Gerardin

Pandemic control measures like lock-down, restrictions on restaurants and gatherings, social-distancing have shown to be effective in curtailing the spread of COVID-19. However, their sustained enforcement has negative economic effects. To…

Recent Covid-19 pandemic has demonstrated the need of efficient epidemic outbreak management. We study the optimal control problem of minimizing the fraction of infected population by applying vaccination and treatment control strategies,…

社会与信息网络 · 计算机科学 2021-12-07 Jagtap Kalyani Devendra , Kundan Kandhway

Nonpharmaceutical interventions (NPI) such as banning public events or instituting lockdowns have been widely applied around the world to control the current COVID-19 pandemic. Typically, this type of intervention is imposed when an…

The Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological model is one of the standard models of disease spreading. Here we analyse an extended SEIR model that accounts for asymptomatic carriers, believed to play an important role…

种群与进化 · 定量生物学 2021-01-26 Arghya Das , Abhishek Dhar , Srashti Goyal , Anupam Kundu , Saurav Pandey

The current COVID-19 pandemic and subsequent lockdowns have highlighted the close and delicate relationship between a country's public health and economic health. Macroeconomic models that use preexisting epidemic models to calculate the…

物理与社会 · 物理学 2020-07-01 Erhan Bayraktar , Asaf Cohen , April Nellis

This work examines the use of reinforcement learning (RL) to optimize cyclic lockdowns, which is one of the methods available for control of the COVID-19 pandemic. The problem is structured as an optimal control system for tracking a…

机器学习 · 计算机科学 2020-09-11 Mauricio Arango , Lyudmil Pelov

We introduce a general system of ordinary differential equations that includes some classical and recent models for the epidemic spread in a closed population without vital dynamic in a finite time horizon. The model is vectorial, in the…

最优化与控制 · 数学 2023-06-21 Lorenzo Freddi

This paper studies if and to which extent COVID-19 epidemics can be controlled by authorities taking decisions on public health measures on the basis of daily reports of swab test results, active cases and total cases. A suitably simplified…

物理与社会 · 物理学 2020-07-22 Francesco Casella

The problem of continuous inverse optimal control (over finite time horizon) is to learn the unknown cost function over the sequence of continuous control variables from expert demonstrations. In this article, we study this fundamental…

机器学习 · 计算机科学 2022-04-20 Yifei Xu , Jianwen Xie , Tianyang Zhao , Chris Baker , Yibiao Zhao , Ying Nian Wu

Surveillance of diseases in a pandemic is an important part of public health policy. Diagnostic testing at the individual level is often infeasible due to resource constraints. To circumvent these constraints, group testing can be applied.…

统计计算 · 统计学 2026-04-01 Michael Balzer , Kainat Khowaja , Christiane Fuchs

A coronavirus disease 2019 (COVID-19) model with quarantine and standard incidence rate is first developed, then a novel analysis approach for finding the ultimate lower bound of COVID-19 infectious individuals is proposed, which means that…

种群与进化 · 定量生物学 2022-11-01 Songbai Guo , Yuling Xue , Xiliang Li , Zuohuan Zheng

In this study, we analyze the effectiveness of measures aimed at finding and isolating infected individuals to contain epidemics like COVID-19, as the suppression induced over the effective reproduction number. We develop a mathematical…

种群与进化 · 定量生物学 2021-10-22 Andrea Maiorana , Marco Meneghelli , Mario Resnati

The COVID-19 pandemic has proved to be one of the most disruptive public health emergencies in recent memory. Among non-pharmaceutical interventions, social distancing and lockdown measures are some of the most common tools employed by…

动力系统 · 数学 2021-02-16 Carl Corcoran , John Michael Clark

Justifying draconian measures during the Covid-19 pandemic was difficult not only because of the restriction of individual rights, but also because of its economic impact. The objective of this work is to present a machine learning approach…

机器学习 · 计算机科学 2020-11-30 Santiago Cortes , Yullys M. Quintero

Without a control group, the most widespread methodologies for estimating causal effects cannot be applied. To fill this gap, we propose the Machine Learning Control Method, a new approach for causal panel analysis that estimates causal…

计量经济学 · 经济学 2024-10-28 Augusto Cerqua , Marco Letta , Fiammetta Menchetti