Rafael Domingos Garanito Luís

Penteada University Campus , Floor 2, Office 2.110

rafael.luis@staff.uma.pt

(+351) 291 705 161 / 5161

Publications

- Global asymptotic stability of evolutionary periodic Ricker competition models, Saber Elaydi, Yun Kang, Rafael Luís, Journal of Difference Equations and Applications, 2024, 26

- How far can we go in stability conditions for periodic maps?, Rafael Luís, The 29th International Conference on Difference Equations and Applications (ICDEA 2024), 2024

- Invariant Sets, Global Dynamics, and the Neimark?Sacker Bifurcation in the Evolutionary Ricker Model, Rafael Luís, Brian Ryals, Symmetry, 2024

- Local stability conditions for a n-dimensional periodic mapping, Rafael Luís, Sandra Mendonça, Mathematics and Computers in Simulation, 2024, 1615

- Open Problems and Conjectures in the Evolutionary Periodic Ricker Competition Model, Rafael Luís, Axioms, 2024

- A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds, Baigent, S., Z. Hou, S. Elaydi, E.C. Balreira, and R. Luís, J. Difference Equ. Appl, 2023, 17

- The effects of evolution on the stability of competing species., Elaydi, S.; Kang, Y.; Luís, R., Journal of Biological Dynamics, 2022, 24 16

- A STOCHASTIC STUDY FOR A GENERALIZED LOGISTIC MODEL, Rafael Luís and Sandra Mendonça, REVSTAT - STATISTICAL JOURNAL, 2021, 15

- Geometry and Global Stability of 2D Periodic Monotone Maps, Eduardo Balreira Cabral and Rafael Luís, Journal of Dynamics and Differential Equations, 2021

- Linear stability conditions for a first order n-dimensional mapping, Rafael Luís, Qualitative Theory of Dynamical Systems, 2021

Academic Qualifications

- PhD in Matemática, 2011, University of Madeira

- Master Degree in Matemática, 2006, University of Madeira

- Undergraduate Degree in Matemática, 1999, University of Madeira