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20062024
most citedOptimal control for a tuberculosis model with reinfection and post-exposure interventions

137 citations · 1.6k across the 45 of their papers we have counts for

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30 papers · 1 filter

math.OC2024

Optimal Control of Microcephaly Under Vertical Transmission of Zika

Dilara Yapışkan, Cristiana J. Silva, Delfim F. M. Torres

The Zika virus, known for its potential to induce neurological conditions such as microcephaly when transmitted vertically from infected mothers to infants, has sparked widespread…

math.OC2023★ 4 cited

An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia

Mohamed A. Zaitri, Cristiana J. Silva, Delfim F. M. Torres

We obtain an analytical solution for the time-optimal control problem in the induction phase of anesthesia. Our solution is shown to align numerically with the results obtained fro…

math.OC2022★ 12 cited

A SIQRB delayed model for cholera and optimal control treatment

Ana P. Lemos-Paiao, Helmut Maurer, Cristiana J. Silva +1

We improve a recent mathematical model for cholera by adding a time delay that represents the time between the instant at which an individual becomes infected and the instant at wh…

math.OC2021★ 4 cited

Model-free based control of a HIV/AIDS prevention model

Loïc Michel, Cristiana J. Silva, Delfim F. M. Torres

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 fun…

math.OC2020★ 4 cited

Optimal control of vaccination and plasma transfusion with potential usefulness for COVID-19

Juliana Couras, Ivan Area, Juan J. Nieto +2

The SEIR model is a compartmental model used to simulate the dynamics of an epidemic. In this chapter, we introduce two control functions in the compartmental SEIR model representi…

math.OC2020

A survey on sufficient optimality conditions for delayed optimal control problems

Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres

The aim of this work is to make a survey on recent sufficient optimality conditions for optimal control problems with time delays in both state and control variables. The results a…