Research

Research Interests

Optimization, Systems Biology, Fractional Calculus, Optimal Control,  Applied Mathematics.

Recent Publications

Paulo Rebelo, Silvério Rosa and César M. Silva, Modelling optimal pest control of non-autonomous predator-prey interaction,  Mathematical Modelling of Natural Phenomena, 17 (2022) 28.

Silvério Rosa, Delfim FM Torres. Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal. Axioms. 2022; 11(4):170.

Silvério Rosa and Delfim FM Torres. Fractional-Order Modelling and Optimal Control of Cholera Transmission. Fractal and Fractional. 2021; 5(4):261.

A. Boukhouima, E. M. Lotfi, M. Mahrouf, S. Rosa, D. F. M. Torres and N. Yousfi,
Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate, Eur. Phys. J. Plus 136 (2021), Art. 103, 20 pp.

Silvério Rosa and Delfim F. M. Torres. Optimal Control and Sensitivity Analysis of a Fractional Order TB Model, Statistics, Optimization and Information Computing, Volume 7, no. 3 (2019), 617-625.

Silvério Rosa and Delfim F. M. Torres, Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection, Chaos Solitons and Fractals 117 (2018), 142–149.

J. P. Mateus, P. Rebelo, S. Rosa, C. M. Silva and D. F. M. Torres, Optimal control of non-autonomous SEIRS models with vaccination and treatment, Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 6, 1179–1199.

Silvério Rosa, Paulo Rebelo, César M. Silva, Helena Alves and Pedro G. Carvalho, Optimal control of the customer dynamics based on marketing policy, Applied Mathematics and Computation, 330 (2018) 42-55.

Silvério Rosa and Delfim F. M. Torres, Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida, Statistics, Optimization and Information Computing, Volume 6, 1 (2018), pp.~139-149.

César M. Silva, Silvério Rosa, Helena Alves and Pedro G. Carvalho, A mathematical model for the customer dynamics based on marketing policy, Appl. Math. Comput., 273 (2016) 42–53

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