731 citations · 749 across the 6 of their papers we have counts for
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Learning and teaching Einstein's Theory of Special Relativity: state of the art
Xabier Prado, José Manuel Domínguez, Iván Area +3
This work analyzes the difficulties in learning and teaching Einstein's theory of special relativity. An extensive bibliographic review has been performed, considering articles pub…
Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials
Esra Güldoğan-Lekesiz, Rabia Aktaş, Iván Area
In this paper Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained by using the Parse…
Mathematical Modeling of Japanese Encephalitis Under Aquatic Environmental Effects
Faical Ndairou, Ivan Area, Delfim F. M. Torres
We propose a mathematical model for the spread of Japanese encephalitis, with emphasis on environmental effects on the aquatic phase of mosquitoes. The model is shown to be biologi…
Optimal control of vaccination and plasma transfusion with potential usefulness for COVID-19
Juliana Couras, Ivan Area, Juan J. Nieto +2
The SEIR model is a compartmental model used to simulate the dynamics of an epidemic. In this chapter, we introduce two control functions in the compartmental SEIR model representi…
Optimal control of the COVID-19 pandemic: controlled sanitary deconfinement in Portugal
Cristiana J. Silva, Carla Cruz, Delfim F. M. Torres +9
The COVID-19 pandemic has forced policy makers to decree urgent confinements to stop a rapid and massive contagion. However, after that stage, societies are being forced to find an…
Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan
Faical Ndairou, Ivan Area, Juan J. Nieto +1
We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic…