23 citations · 46 across the 5 of their papers we have counts for
5 papers
Pharmacokinetic/Pharmacodynamic Anesthesia Model Incorporating psi-Caputo Fractional Derivatives
Mohamed Abdelaziz Zaitri, Hanaa Zitane, Delfim F. M. Torres
We present a novel Pharmacokinetic/Pharmacodynamic (PK/PD) model for the induction phase of anesthesia, incorporating the -Caputo fractional derivative. By employing the Picard…
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…
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…
Transport and Optimal Control of Vaccination Dynamics for COVID-19
Mohamed Abdelaziz Zaitri, Mohand Ouamer Bibi, Delfim F. M. Torres
We develop a mathematical model for transferring the vaccine BNT162b2 based on the heat diffusion equation. Then, we apply optimal control theory to the proposed generalized SEIR m…
Optimal Control to Limit the Spread of COVID-19 in Italy
Mohamed Abdelaziz Zaitri, Mohand Ouamer Bibi, Delfim F. M. Torres
We apply optimal control theory to a generalized SEIR-type model. The proposed system has three controls, representing social distancing, preventive means, and treatment measures t…