Simone De Reggi

I completed my PhD in Mathematical and Physical Sciences at the University of Udine in 2025. Currently, I am a research fellowship holder in numerical analysis at the University of Trento, working in the group of Prof. Andrea Pugliese.

Research Interests

My research focuses on the study of dynamical systems generated by evolutionary integro-differential equations (PDEs, delay equations). I am primarily interested in developing numerical methods for bifurcation analysis and time integration of such systems, as well as in mathematical modeling of infectious diseases and ecological dynamics using structured population models. Main topics: discretization of infinite-dimensional operators via projection methods (e.g., pseudospectral collocation); numerical approximation of reproduction numbers and stability indicators for structured population models; reduction of systems of (partial) functional evolution equations to systems of ordinary/partial differential equations through semidiscretization approaches and use of the resulting system in software for bifurcation analysis; modeling and analysis of population dynamics in biology, epidemiology and ecology, with special attention to behavioral dynamics in models for directly/vector-transmitted diseases.