I have completed the scholar part of Universidade de Évora PhD Programme in Mathematics during the last academic year 2022-2023 with average grade 17,63/20 (48 ECTS), the Master in Applied Mathematics from Vietnam National University of Science in 2022 (thesis "Linear functional observer for time-delay systems"), and the Bachelor in Pure Mathematics from Quy Nhon University in 2018 (dissertation "Range, norm, and spectrum of matrices"). I got the First Prize in Scientific Research from Quy Nhon University with the publication “Rank one solutions to systems of linear equations over positive semidefinite matrices and an application to a filter design problem”. I would like to do Applied Mathematics, particularly in the field of Partial Differential Equations (PDEs) modelling our real life problems. Pursuing this goal I attended a few international schools as the SEAMS (South-East Asia Mathematical Schools) 2021 "Modern Tools for Mathematical Modeling of Ecosystems" and the CIMPA school 2022 (Centre International de Mathématiques Pures et Appliquées) “Mathematical Modeling of Ecosystems” both in Philippines, the AESIM School 2023 (Asian and European Schools in Mathematics) “Mathematics for Health Sciences” in India and in there I have done a mini project on "Problem of population dynamic" under supervision of my advisor Professor Michael Grinfeld. Previously I got an Erasmus Mundus scholarship to study at Universidade de Évora in the academic year 2015 - 2016 and I visited the LAMFA, Université de Picardie Jules Verne, France, to attend the Spring School 2016 “Introduction to hyperbolic conservation laws” organised by the professors with who I am working now. Last year, as a student of Universidade de Évora, I got the Bolsa de Investigação Científica (BIC) from the French Institute of Portugal to visit LAMFA once again where I worked in the development of numerical methods for dealing with structured population models (solution visualisation and to guide for the analytical work). Currently I am immersed in my research endeavors focusing on “Structured Population Models for a Water Purification Process” under my PhD advisors Prof. Joaquim M. C. Correia from Universidade de Évora, Portugal, and Prof. Michael Grinfeld from University of Strathclyde, United Kingdom, and too an international member of the mathematics research centre CIMA of Universidade de Évora.