113 citations · 229 across the 8 of their papers we have counts for
8 papers
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…
A New Compartmental Epidemiological Model for COVID-19 with a Case Study of Portugal
Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres
We propose a compartmental mathematical model for the spread of the COVID-19 disease, showing its usefulness with respect to the pandemic in Portugal, from the first recorded case…
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…
Optimal Control of Aquatic Diseases: A Case Study of Yemen's Cholera Outbreak
Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres +1
We propose a mathematical model for the transmission dynamics of some strains of the bacterium Vibrio cholerae, responsible for the cholera disease in humans. We prove that, when t…
A sufficient optimality condition for delayed state-linear optimal control problems
Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres
We give answer to an open question by proving a sufficient optimality condition for state-linear optimal control problems with time delays in state and control variables. In the pr…
A cholera mathematical model with vaccination and the biggest outbreak of world's history
Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres
We propose and analyse a mathematical model for cholera considering vaccination. We show that the model is epidemiologically and mathematically well posed and prove the existence a…
A sufficient optimality condition for non-linear delayed optimal control problems
Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres
We prove a sufficient optimality condition for non-linear optimal control problems with delays in both state and control variables. Our result requires the verification of a Hamilt…
An epidemic model for cholera with optimal control treatment
Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres
We propose a mathematical model for cholera with treatment through quarantine. The model is shown to be both epidemiologically and mathematically well posed. In particular, we prov…