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This paper proposes optimal lockdown management policies based on short-term prediction of active COVID-19 confirmed cases to ensure the availability of critical medical resources. The optimal time to start the lockdown from the current…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Shuvrangshu Jana , Debasish Ghose

In this paper, we propose a general framework for optimal control measures, which follows the evolution of COVID-19 infection counts collected by Surveillance Units on a country level. We employ an autoregressive model that allows to…

In this paper, we focus on a method based on optimal control to address the optimization problem. The objective is to find the optimal solution that minimizes the objective function. We transform the optimization problem into optimal…

Optimization and Control · Mathematics 2023-09-12 Yeming Xu , Ziyuan Guo , Hongxia Wang , Huanshui Zhang

Controlling an epidemiological model is often performed using optimal control theory techniques for which the solution depends on the equations of the control system, objective functional and possible state and/or control constraints. In…

Optimization and Control · Mathematics 2021-11-25 Loïc Michel , Cristiana J. Silva , Delfim F. M. Torres

We consider the control of the COVID-19 pandemic through a standard SIR compartmental model. This control is induced by the aggregation of individuals' decisions to limit their social interactions: when the epidemic is ongoing, an…

Physics and Society · Physics 2020-06-22 Romuald Elie , Emma Hubert , Gabriel Turinici

In personalized medicine, the ability to predict and optimize treatment outcomes across various time frames is essential. Additionally, the ability to select cost-effective treatments within specific budget constraints is critical. Despite…

Machine Learning · Computer Science 2024-10-14 Thomas Schwarz , Cecilia Casolo , Niki Kilbertus

In this article we propose a compartmental model for the dynamics of Coronavirus Disease 2019 (COVID-19). We take into account the presence of asymptomatic infections and the main policies that have been adopted so far to contain the…

Populations and Evolution · Quantitative Biology 2020-05-18 M. Soledad Aronna , Roberto Guglielmi , Lucas M. Moschen

This paper aims to evaluate the potential cost-effectiveness of healthcare interventions against human papillomavirus (HPV). For this, we consider a two-sex epidemic model for the transmission dynamics of HPV which includes screening,…

Optimization and Control · Mathematics 2020-11-16 Fernando Saldaña , José Ariel Camacho-Gutíerrez , Ignacio Barradas , Andrei Korobeinikov

We propose a versatile model with a flexible choice of control for an early-pandemic outbreak prevention when vaccine/drug is not yet available. At that stage, control is often limited to non-medical interventions like social distancing and…

Optimization and Control · Mathematics 2024-06-14 Alexandra Smirnova , Xiaojing Ye

There is a continuing debate on relative benefits of various mitigation and suppression strategies aimed to control the spread of COVID-19. Here we report the results of agent-based modelling using a fine-grained computational simulation of…

Populations and Evolution · Quantitative Biology 2020-11-12 Sheryl L. Chang , Nathan Harding , Cameron Zachreson , Oliver M. Cliff , Mikhail Prokopenko

The COVID-19 pandemic has resulted in more than 30.35 million infections and 9, 50, 625 deaths in 212 countries over the last few months. Different drug intervention acting at multiple stages of pathogenesis of COVID-19 can substantially…

Populations and Evolution · Quantitative Biology 2023-09-01 Bishal Chhetri , Vijay M. Bhagat , D. K. K. Vamsi , Ananth V S , Bhanu Prakash , Swapna Muthuswamy , Pradeep Deshmukh , Carani B Sanjeevi

The COVID-19 pandemic has created unprecedented challenges worldwide. Strained healthcare providers make difficult decisions on patient triage, treatment and care management on a daily basis. Policy makers have imposed social distancing…

While several non-pharmacological measures have been implemented for a few months in an effort to slow the coronavirus disease (COVID-19) pandemic in the United States, the disease remains a danger in a number of counties as restrictions…

Physics and Society · Physics 2021-04-06 Chao Fan , Xiangqi Jiang , Ronald Lee , Ali Mostafavi

This paper presents the assessment of time-dependent national-level restrictions and control actions and their effects in fighting the COVID-19 pandemic. By analysing the transmission dynamics during the first wave of COVID-19 in the…

Populations and Evolution · Quantitative Biology 2021-02-04 Ton Duc Do , Meei Mei Gui , Kok Yew Ng

We study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with vaccination and treatment as control variables. We prove…

Optimization and Control · Mathematics 2018-06-13 Joaquim P. Mateus , Paulo Rebelo , Silvério Rosa , César M. Silva , Delfim F. M. Torres

Whenever countries are threatened by a pandemic, as is the case with the COVID-19 virus, governments should take the right actions to safeguard public health as well as to mitigate the negative effects on the economy. In this regard, there…

Machine Learning · Computer Science 2020-05-18 Luis Miralles-Pechuán , Fernando Jiménez , Hiram Ponce , Lourdes Martínez-Villaseñor

In this paper, we study an optimal control problem of a communicable disease in a prison population. In order to control the spread of the disease inside a prison, we consider an active case-finding strategy, consisting on screening a…

Optimization and Control · Mathematics 2020-11-06 Pedro Gajardo , Victor Riquelme , Diego Vicencio

This work focuses on optimal controls of a class of stochastic SIS epidemic models under regime switching. By assuming that a decision maker can either influence the infectivity period or isolate infected individuals, our aim is to minimize…

Optimization and Control · Mathematics 2021-01-12 Ky Tran , George Yin

This work constructs, analyzes, and simulates a new compartmental SEIR-type model for the dynamics and potential control of the current COVID-19 pandemic. The novelty in this work is two-fold. First, the population is divided according to…

Populations and Evolution · Quantitative Biology 2021-05-14 Aycil Cesmelioglu , Kenneth L. Kuttler , Meir Shillor , Anna M. Spagnuolo

We apply optimal control theory to a tuberculosis model given by a system of ordinary differential equations. Optimal control strategies are proposed to minimize the cost of interventions, considering reinfection and post-exposure…

Optimization and Control · Mathematics 2013-07-15 Cristiana J. Silva , Delfim F. M. Torres
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