Research Interests
Optimization, Systems Biology, Fractional Calculus, Optimal Control, Applied Mathematics.
Recent Publications
Optimal Resource Control of a Food Chain with Weak Allee Effect and Antipredator Behaviour. Paulo Rebelo and Silvério Rosa, Comp. Appl. Math. 46, 3, 2027.
An Optimal Control Problem for a Predator-Prey Model with Strong and Weak Preys. Paulo Rebelo and Silvério Rosa, Chaos, Solitons & Fractals, 191:115838, 2025.
Optimal Control Applied to Piecewise-fractional Ebola Model. Silvério Rosa, Faiçal Ndairou. Mathematics 2024, 12, 985.
Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB. Silvério Rosa, Delfim FM Torres. Mathematics. 2023; 11(6):1511.
Modelling Optimal Pest Control of Non-autonomous Predator-prey Interaction, Paulo Rebelo, Silvério Rosa, and César M. Silva, Mathematical Modelling of Natural Phenomena, 17 (2022), 28
Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal. Silvério Rosa and Delfim FM Torres. Axioms. 2022; 11(4):170.
Fractional-Order Modelling and Optimal Control of Cholera Transmission. Silvério Rosa and Delfim FM Torres. Fractal and Fractional. 2021; 5(4):261.
Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate, A. Boukhouima, E. M. Lotfi, M. Mahrouf, S. Rosa, D. F. M. Torres and N. Yousfi, Eur. Phys. J. Plus 136 (2021), Art. 103, 20 pp.
Optimal Control and Sensitivity Analysis of a Fractional Order TB Model, Statistics, Silvério Rosa and Delfim F. M. Torres. Optimization and Information Computing, Volume 7, no. 3 (2019), 617-625.
Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection, Silvério Rosa and Delfim F. M. Torres. Chaos Solitons and Fractals 117 (2018), 142–149.
Optimal control of non-autonomous SEIRS models with vaccination and treatment, J. P. Mateus, P. Rebelo, S. Rosa, C. M. Silva and D. F. M. Torres, Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 6, 1179–1199.
Optimal Control of the Customer Dynamics Based on Marketing Policy, Silvério Rosa, Paulo Rebelo, César M. Silva, Helena Alves and Pedro G. Carvalho, Applied Mathematics and Computation, 330 (2018) 42-55.
Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida, Silvério Rosa and Delfim F. M. Torres, Statistics, Optimization and Information Computing, Volume 6, 1 (2018), pp.~139-149.