Lejdi Lusha
In October 2025 I obtained my Master’s Degree in Mathematics at the University of Trento, within the curriculum Mathematics and Statistics for Life and Social Sciences. My Master’s thesis, titled Mathematical approaches to structured populations, theory and application to Drosophila suzukii, was carried out in collaboration with Fondazione Edmund Mach (San Michele all’Adige) and focused on the problem of biological control of Drosophila suzukii. During this project, I investigated several theoretical tools used to describe structured populations and then focused on the Forward Kolmogorov formulation for modeling the dynamics of the parasite species of interest. Since February 2026, I am a PhD student at the Department of Mathematics of the University of Trento, under the supervision of Cinzia Soresina and the co-supervision of Rachele Nieri. My research activity is focused on mathematical biology, particularly on the modeling and analysis of ecological systems using differential equations, with current interests including cross-diffusion systems, fast–slow approximations, and pattern formation.
Research Interests
My primary area of interest is mathematical biology, with a particular focus on ecological applications. I am especially interested in the modeling of biological and ecological systems using various types of differential equations. Alongside the applied aspects, I appreciate investigating the theoretical framework underlying these models. Within this context, I am currently deepening my knowledge of cross-diffusion systems, focusing in particular on fast–slow system approximations. My work investigates Turing instability and pattern formation, employing also tools from bifurcation analysis.