Browsing by Author "Abreu, Stella"
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- Interdisciplinary Team WorkPublication . Abreu, Stella; Caldeira, Amélia; Costa, Alexandra R.; Gomes, Tiago; Roque, Luis A.C.In this work, we describe an interdisciplinary teaching experiment involving three subjects of the scientific area of Mathematics and a fourth one in the area of Management. Using only one project, the students developed skills, in an integrated way, in the fields of the subjects involved. The structure of the project is described in detail. It is shown how the knowledge obtained in the different subjects is needed and how it connects together to answer the proposed challenges. We report the progress of the students’ work, the main difficulties and the skills developed during this process. We conclude with a reflection on the main problems and gains that may arise in projects of this kind.
- Lambert W functions in the analysis of nonlinear dynamics and bifurcations of a 2D γ-Ricker Population ModelPublication . Rocha, J. Leonel; Taha, Abdel-Kaddous; Abreu, StellaThe aim of this paper is to study the use of Lambert W functions in the analysis of nonlinear dynamics and bifurcations of a new two-dimensional 𝛾-Ricker population model. Through the use of such transcendental functions, it is possible to study the fixed points and the respective eigenvalues of this exponential diffeomorphism as analytical expressions. Consequently, the maximum number of fixed points is proved, depending on whether the Allee effect parameter 𝛾 is even or odd. In addition, the analysis of the bifurcation structure of this 𝛾-Ricker diffeomorphism, also taking into account the parity of the Allee effect parameter, demonstrates the results established using the Lambert W functions. Numerical studies are included to illustrate the theoretical results.