activity
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

collaborators

46 papers

math-ph2024

Optimal control applied to viral competition

Javier López-Pedrares, Cristiana J. Silva, M. Elena Vázquez-Cendón +1

The emergence of mutant lineages within a viral species has become a public health problem, as the existing treatments and drugs are usually more effective on the original lineages…

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…

q-bio.PE2022★ 10 cited

Stability Analysis of Delayed COVID-19 Models

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

We analyze mathematical models for COVID-19 with discrete time delays and vaccination. Sufficient conditions for the local stability of the endemic and disease-free equilibrium poi…

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…